All Stories

  1. Dynamics of an epidemic model for COVID-19 with Hattaf fractal-fractional operator and study of existence of solutions by means of fixed point theory

    Article • Journal of Mathematics and Computer Science, August 2024, International Scientific Research Publications MY SDN. BHD.

    Professor Khalid Hattaf

  2. Stability of a Fractional Opinion Formation Model with and without Leadership Using the New Generalized Hattaf Fractional Derivative

    Article • Mathematical Problems in Engineering, April 2024, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  3. A New Mixed Fractional Derivative with Applications in Computational Biology

    Article • Computation, January 2024, MDPI AG

    Professor Khalid Hattaf

  4. Mathematical Biology in High School Mathematics Education

    Article • Journal of Educational and Social Research, November 2023, Richtmann Publishing

    Professor Khalid Hattaf

  5. A generalized fractional HIV-1 infection model with humoral immunity and highly active antiretroviral therapy

    Article • Journal of Mathematics and Computer Science, August 2023, International Scientific Research Publications MY SDN. BHD.

    Professor Khalid Hattaf

  6. Hopf bifurcation of a delayed fractional-order prey–predator model with Holling type II and with reserved area for prey in the presence of toxicity

    Article • International Journal of Dynamics and Control, July 2023, Springer Science + Business Media

    Professor Khalid Hattaf

  7. Hopf Bifurcation Analysis and Optimal Control of an Infectious Disease with Awareness Campaign and Treatment

    Article • Axioms, June 2023, MDPI AG

    Professor Khalid Hattaf

  8. A New Class of Generalized Fractal and Fractal-Fractional Derivatives with Non-Singular Kernels

    Article • Fractal and Fractional, May 2023, MDPI AG

    Professor Khalid Hattaf

  9. Spatiotemporal dynamics of a delayed IS-LM model with interest rate and general investment function

    Article • Journal of Mathematics and Computer Science, April 2023, International Scientific Research Publications MY SDN. BHD.

    Professor Khalid Hattaf

  10. Editorial: Modeling of COVID-19 and other infectious diseases: Mathematical, statistical and biophysical analysis of spread patterns

    Article • Frontiers in Applied Mathematics and Statistics, March 2023, Frontiers

    Professor Khalid Hattaf

  11. Global Dynamics of a Diffusive Within-Host HTLV/HIV Co-Infection Model with Latency

    Article • Mathematics, March 2023, MDPI AG

    Professor Khalid Hattaf

  12. Mathematical Modeling and Analysis of the Dynamics of RNA Viruses in Presence of Immunity and Treatment: A Case Study of SARS-CoV-2

    Article • Vaccines, January 2023, MDPI AG

    Professor Khalid Hattaf

  13. Preface

    Article • January 2023, Elsevier

    Professor Khalid Hattaf

  14. Existence of traveling waves by means of fixed point theory for an epidemic model with Hattaf-Yousfi incidence rate and temporary immunity acquired by vaccination

    Article • Advances in Fixed Point Theory, January 2023, SCIK Publishing Corporation

    Professor Khalid Hattaf

  15. A Reaction-Diffusion Fractional Model for Cancer Virotherapy with Immune Response and Hattaf Time-Fractional Derivative

    Article • January 2023, Springer Science + Business Media

    Professor Khalid Hattaf

  16. Stability analysis of a delayed COVID-19 transmission model involving immigration and vaccination

    Article • Communications in Mathematical Biology and Neuroscience, January 2023, SCIK Publishing Corporation

    Professor Khalid Hattaf

  17. Stability and Hopf bifurcation of an epidemiological model with effect of delay the awareness programs and vaccination: analysis and simulation

    Article • Communications in Mathematical Biology and Neuroscience, January 2023, SCIK Publishing Corporation

    Professor Khalid Hattaf

  18. Dynamics of a fractional optimal control HBV infection model with capsids and CTL immune response

    Article • Mathematical Modeling and Computing, January 2023, Lviv Polytechnic National University

    Professor Khalid Hattaf

  19. Copyright

    Article • January 2023, Elsevier

    Professor Khalid Hattaf

  20. Index

    Article • January 2023, Elsevier

    Professor Khalid Hattaf

  21. Contents

    Article • January 2023, Elsevier

    Professor Khalid Hattaf

  22. Modeling the dynamics of business cycle with general investment and variable depreciation rate of capital stock

    Article • Journal of Mathematics and Computer Science, November 2022, International Scientific Research Publications MY SDN. BHD.

    Professor Khalid Hattaf

  23. Dynamics of HIV-1/HTLV-I Co-Infection Model with Humoral Immunity and Cellular Infection

    Article • Viruses, August 2022, MDPI AG

    Professor Khalid Hattaf

  24. On the Stability and Numerical Scheme of Fractional Differential Equations with Application to Biology

    Article • Computation, June 2022, MDPI AG

    Professor Khalid Hattaf

  25. A generalized distributed delay model for hepatitis B virus infection with two modes of transmission and adaptive immunity: A mathematical study

    Article • Mathematical Methods in the Applied Sciences, June 2022, Wiley

    Professor Khalid Hattaf

  26. A Numerical Method for Fractional Differential Equations with New Generalized Hattaf Fractional Derivative

    Article • Mathematical Problems in Engineering, May 2022, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  27. Dynamics of a reaction-diffusion fractional-order model for M1 oncolytic virotherapy with CTL immune response

    Article • Chaos Solitons & Fractals, April 2022, Elsevier

    Professor Khalid Hattaf

  28. Gronwall inequality and existence of solutions for differential equations with generalized Hattaf fractional derivative

    Article • Journal of Mathematics and Computer Science, February 2022, International Scientific Research Publications MY SDN. BHD.

    Professor Khalid Hattaf

  29. A spatiotemporal SIR epidemic model two-dimensional with problem of optimal control

    Article • Boletim da Sociedade Paranaense de Matemática, February 2022, Sociedade Paranaense de Matematica

    Professor Khalid Hattaf

  30. Dynamics of a delayed prey-predator model with Hattaf-Yousfi functional response

    Article • Communications in Mathematical Biology and Neuroscience, January 2022, SCIK Publishing Corporation

    Professor Khalid Hattaf

  31. Existence and uniqueness results of solutions for Hattaf-type fractional differential equations with application to epidemiology

    Article • Communications in Mathematical Biology and Neuroscience, January 2022, SCIK Publishing Corporation

    Professor Khalid Hattaf

  32. Modeling and analysis of the dynamics of COVID-19 transmission in presence of immigration and vaccination

    Article • Communications in Mathematical Biology and Neuroscience, January 2022, SCIK Publishing Corporation

    Professor Khalid Hattaf

  33. Qualitative analysis of a fractional model for HBV infection with capsids and adaptive immunity

    Article • International Journal of Dynamical Systems and Differential Equations, January 2022, Inderscience Publishers

    Professor Khalid Hattaf

  34. Qualitative analysis of a fractional model for HBV infection with capsids and adaptive immunity

    Article • International Journal of Dynamical Systems and Differential Equations, January 2022, Inderscience Publishers

    Professor Khalid Hattaf

  35. Stability of Fractional Differential Equations with New Generalized Hattaf Fractional Derivative

    Article • Mathematical Problems in Engineering, December 2021, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  36. A New Fractional Model for Cancer Therapy with M1 Oncolytic Virus

    Article • Complexity, June 2021, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  37. On Some Properties of the New Generalized Fractional Derivative with Non-Singular Kernel

    Article • Mathematical Problems in Engineering, May 2021, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  38. Exploitation des contes dans l’apprentissage des mathématiques au préscolaire

    Article • European Scientific Journal ESJ, February 2021, European Scientific Institute, ESI

    Professor Khalid Hattaf

  39. A numerical method for a diffusive HBV infection model with multi-delays and two modes of transmission

    Article • Communications in Mathematical Biology and Neuroscience, January 2021, SCIK Publishing Corporation

    Professor Khalid Hattaf

  40. Spatiotemporal dynamics of a fractional model for hepatitis B virus infection with cellular immunity

    Article • Mathematical Modelling of Natural Phenomena, January 2021, EDP Sciences

    Professor Khalid Hattaf

  41. Analysis of a Fractional Reaction-Diffusion HBV Model with Cure of Infected Cells

    Article • Discrete Dynamics in Nature and Society, November 2020, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  42. Lyapunov functions for fractional-order systems in biology: Methods and applications

    Article • Chaos Solitons & Fractals, November 2020, Elsevier

    Professor Delfim F. M. Torres, Professor Khalid Hattaf

  43. Stability and Hopf Bifurcation of a Generalized Chikungunya Virus Infection Model with Two Modes of Transmission and Delays

    Article • Discrete Dynamics in Nature and Society, October 2020, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  44. Dynamics of a Virological Model for Cancer Therapy with Innate Immune Response

    Article • Complexity, September 2020, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  45. Global Stability for Fractional Diffusion Equations in Biological Systems

    Article • Complexity, August 2020, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  46. Non-Pharmaceutical Interventions and Vaccination Controls in a Stochastic SIVR Epidemic Model

    Article • Differential Equations and Dynamical Systems, July 2020, Springer Science + Business Media

    Professor Khalid Hattaf

  47. Modeling the dynamics of viral infections in presence of latently infected cells

    Article • Chaos Solitons & Fractals, July 2020, Elsevier

    Professor Khalid Hattaf

  48. A New Generalized Definition of Fractional Derivative with Non-Singular Kernel

    Article • Computation, May 2020, MDPI AG

    Professor Khalid Hattaf

  49. Global stability and Hopf bifurcation of a generalized viral infection model with multi-delays and humoral immunity

    Article • Physica A Statistical Mechanics and its Applications, May 2020, Elsevier

    Professor Khalid Hattaf

  50. Viral Immunology: Modeling and Analysis

    Article • January 2020, Springer Science + Business Media

    Professor Khalid Hattaf

  51. Dynamics of SARS-CoV-2 infection model with two modes of transmission and immune response

    Article • Mathematical Biosciences and Engineering, January 2020, American Institute of Mathematical Sciences (AIMS)

    Professor Khalid Hattaf

  52. Epidemiological models in high school mathematics education

    Article • Communications in Mathematical Biology and Neuroscience, January 2020, SCIK Publishing Corporation

    Professor Khalid Hattaf

  53. A Class of Ebola Virus Disease Models with Post-death Transmission and Environmental Contamination

    Article • January 2020, Springer Science + Business Media

    Professor Khalid Hattaf

  54. Modeling the Dynamics of Hepatitis B Virus Infection in Presence of Capsids and Immunity

    Article • January 2020, Springer Science + Business Media

    Professor Khalid Hattaf

  55. Mathematical Modelling and Analysis of Infectious Diseases

    Article • January 2020, Springer Science + Business Media

    Professor Khalid Hattaf

  56. Global Properties of a Diffusive HBV Infection Model with Cell-to-Cell Transmission and Three Distributed Delays

    Article • January 2020, Springer Science + Business Media

    Professor Khalid Hattaf

  57. Mathematical Modeling in Virology

    Article • January 2020, Elsevier

    Professor Khalid Hattaf

  58. A generalized model of chikungunya virus with both modes of transmission and humoral immunity

    Article • Communications in Mathematical Biology and Neuroscience, January 2020, SCIK Publishing Corporation

    Professor Khalid Hattaf

  59. Global Properties of a General Latent Pathogen Dynamics Model with Delayed Pathogenic and Cellular Infections

    Article • Discrete Dynamics in Nature and Society, July 2019, Hindawi Publishing Corporation

    Ahmed Elaiw, Professor Khalid Hattaf

  60. Dynamics of an HBV infection model with cell-to-cell transmission and CTL immune response

    Article • Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, June 2019, Centre pour la Communication Scientifique Directe (CCSD)

    Professor Khalid Hattaf

  61. Global stability of a fractional order HIV infection model with cure of infected cells in eclipse stage

    Article • Revue Africaine de la Recherche en Informatique et Mathématiques Appliquées, June 2019, Centre pour la Communication Scientifique Directe (CCSD)

    Professor Khalid Hattaf

  62. Spatiotemporal Dynamics of a Generalized Viral Infection Model with Distributed Delays and CTL Immune Response

    Article • Computation, April 2019, MDPI AG

    Professor Khalid Hattaf

  63. Mathematical analysis of a delayed IS–LM model with general investment function

    Article • The Journal of Analysis, January 2019, Springer Science + Business Media

    Professor Khalid Hattaf

  64. dynamics of a fractional order HBV infection model with capsids and CTL immune response

    Article • Communications in Mathematical Biology and Neuroscience, January 2019, SCIK Publishing Corporation

    Professor Khalid Hattaf

  65. A Fractional Order Model for HBV Infection with Capsids and Cure Rate

    Article • January 2019, Springer Science + Business Media

    Professor Khalid Hattaf

  66. Mathematical Modeling of Ebola Virus Disease in Bat Population

    Article • Discrete Dynamics in Nature and Society, December 2018, Hindawi Publishing Corporation

    Professor Khalid Hattaf, Noura YOUSFI, Zineb El rhoubari

  67. A Fractional Order Model for Viral Infection with Cure of Infected Cells and Humoral Immunity

    Article • International Journal of Differential Equations, December 2018, Hindawi Publishing Corporation

    Professor Khalid Hattaf, Noura YOUSFI

  68. TIC Dans L’enseignement Des Mathematiques Au Lycee Marocain

    Article • European Scientific Journal ESJ, August 2018, European Scientific Institute, ESI

    Professor Khalid Hattaf

  69. Modeling the Adaptive Immunity and Both Modes of Transmission in HIV Infection

    Article • Computation, May 2018, MDPI AG

    Professor Khalid Hattaf

  70. Global dynamics of an age-structured viral infection model with general incidence function and absorption

    Article • International Journal of Biomathematics, May 2018, World Scientific Pub Co Pte Lt

    Professor Khalid Hattaf

  71. A fractional order SIR epidemic model with nonlinear incidence rate

    Article • Advances in Difference Equations, May 2018, Springer Science + Business Media

    Professor Khalid Hattaf

  72. Mathematical Modeling in Virology by Differential Equations

    Article • International Journal of Differential Equations, January 2018, Hindawi Publishing Corporation

    Professor Khalid Hattaf, Ahmed Elaiw, Noura YOUSFI

  73. Spatiotemporal Dynamics of an HIV Infection Model with Delay in Immune Response Activation

    Article • International Journal of Differential Equations, January 2018, Hindawi Publishing Corporation

    Professor Khalid Hattaf, Noura YOUSFI

  74. Qualitative Analysis of a Generalized Virus Dynamics Model with Both Modes of Transmission and Distributed Delays

    Article • International Journal of Differential Equations, January 2018, Hindawi Publishing Corporation

    Professor Khalid Hattaf, Noura YOUSFI

  75. Qualitative analysis of a stochastic epidemic model with specific functional response and temporary immunity

    Article • Physica A Statistical Mechanics and its Applications, January 2018, Elsevier

    Professor Khalid Hattaf

  76. A generalized business cycle model with delays in gross product and capital stock

    Article • Chaos Solitons & Fractals, May 2017, Elsevier

    Professor Khalid Hattaf

  77. Dynamical behaviors of a general humoral immunity viral infection model with distributed invasion and production

    Article • International Journal of Biomathematics, April 2017, World Scientific Pub Co Pte Lt

    Professor Khalid Hattaf

  78. Stability of HIV-1 infection with saturated virus-target and infected-target incidences and CTL immune response

    Article • International Journal of Biomathematics, January 2017, World Scientific Pub Co Pte Lt

    Professor Khalid Hattaf

  79. Stability Analysis for Stochastic Differential Equations in Virology

    Article • British Journal of Mathematics & Computer Science, January 2017, Sciencedomain International

    Professor Khalid Hattaf

  80. Global Dynamics and Traveling Waves of a Delayed Diffusive Epidemic Model with Specific Nonlinear Incidence Rate

    Article • British Journal of Mathematics & Computer Science, January 2017, Sciencedomain International

    Professor Khalid Hattaf

  81. Impact of Delay in Immune Response Activation on HIV Infection Dynamics

    Article • British Journal of Mathematics & Computer Science, January 2017, Sciencedomain International

    Professor Khalid Hattaf

  82. Dynamics of a Stochastic Viral Infection Model with Immune Response

    Article • Mathematical Modelling of Natural Phenomena, January 2017, EDP Sciences

    Professor Khalid Hattaf

  83. Dynamics of a Fractional Order HIV Infection Model with Specific Functional Response and Cure Rate

    Article • International Journal of Differential Equations, January 2017, Hindawi Publishing Corporation

    Professor Khalid Hattaf, Noura YOUSFI

  84. A numerical method for delayed partial differential equations describing infectious diseases

    Article • Computers & Mathematics with Applications, December 2016, Elsevier

    Professor Khalid Hattaf

  85. A numerical method for a delayed viral infection model with general incidence rate

    Article • Journal of King Saud University - Science, October 2016, Elsevier

    Professor Khalid Hattaf

  86. Numerical method based on extended one-step schemes for optimal control problem with time-lags

    Article • International Journal of Dynamics and Control, September 2016, Springer Science + Business Media

    Professor Khalid Hattaf

  87. Global stability for a class of HIV infection models with cure of infected cells in eclipse stage and CTL immune response

    Article • International Journal of Dynamics and Control, September 2016, Springer Science + Business Media

    Professor Khalid Hattaf

  88. A generalized virus dynamics model with cell-to-cell transmission and cure rate

    Article • Advances in Difference Equations, July 2016, Springer Science + Business Media

    Professor Khalid Hattaf

  89. Dynamics of a delayed business cycle model with general investment function

    Article • Chaos Solitons & Fractals, April 2016, Elsevier

    Professor Khalid Hattaf

  90. Dynamics of Capital-labour Model with Hattaf-Yousfi Functional Response

    Article • British Journal of Mathematics & Computer Science, January 2016, Sciencedomain International

    Professor Khalid Hattaf

  91. Analysis of a stochastic SIRS epidemic model with specific functional response

    Article • Applied Mathematical Sciences, January 2016, Hikari, Ltd.

    Professor Khalid Hattaf

  92. Stability analysis of a delayed social epidemics model with general contact rate and its optimal control

    Article • Journal of Industrial and Management Optimization, January 2016, American Institute of Mathematical Sciences (AIMS)

    Professor Khalid Hattaf

  93. Global stability of a diffused SIR epidemic model with general incidence rate and time delay

    Article • International Journal of Mathematical Analysis, January 2016, Hikari, Ltd.

    Professor Khalid Hattaf

  94. A delayed HIV infection model with specific nonlinear incidence rate and cure of infected cells in eclipse stage

    Article • Applied Mathematical Sciences, January 2016, Hikari, Ltd.

    Professor Khalid Hattaf

  95. A stochastic viral infection model with general functional response

    Article • Nonlinear Analysis and Differential Equations, January 2016, Hikari, Ltd.

    Professor Khalid Hattaf

  96. Dynamics of a Class of HIV Infection Models with Cure of Infected Cells in Eclipse Stage

    Article • Acta Biotheoretica, June 2015, Springer Science + Business Media

    Professor Khalid Hattaf

  97. Global properties of a discrete viral infection model with general incidence rate

    Article • Mathematical Methods in the Applied Sciences, June 2015, Wiley

    Professor Khalid Hattaf

  98. Optimal control of a delayed SLBS computer virus model

    Article • Physica A Statistical Mechanics and its Applications, June 2015, Elsevier

    Professor Khalid Hattaf

  99. A class of delayed viral infection models with general incidence rate and adaptive immune response

    Article • International Journal of Dynamics and Control, March 2015, Springer Science + Business Media

    Professor Khalid Hattaf

  100. Optimal Control of a Delayed SIRS Epidemic Model with Vaccination and Treatment

    Article • Acta Biotheoretica, January 2015, Springer Science + Business Media

    Professor Khalid Hattaf

  101. A generalized HBV model with diffusion and two delays

    Article • Computers & Mathematics with Applications, January 2015, Elsevier

    Professor Khalid Hattaf

  102. THREE-DIMENSIONAL CELLULAR AUTOMATON FOR MODELING THE HEPATITIS B VIRUS INFECTION

    Article • International Journal for Computational Biology, December 2014, Bioclues Organization

    Professor Khalid Hattaf

  103. Global stability of a virus dynamics model with cure rate and absorption

    Article • Journal of the Egyptian Mathematical Society, October 2014, Elsevier

    Professor Khalid Hattaf

  104. Dynamics of a generalized viral infection model with adaptive immune response

    Article • International Journal of Dynamics and Control, September 2014, Springer Science + Business Media

    Professor Khalid Hattaf

  105. Effect of Discretization on Dynamical Behavior in an Epidemiological Model

    Article • Differential Equations and Dynamical Systems, August 2014, Springer Science + Business Media

    Professor Khalid Hattaf

  106. Global dynamics of a delay reaction–diffusion model for viral infection with specific functional response

    Article • Computational and Applied Mathematics, April 2014, Springer Science + Business Media

    Professor Khalid Hattaf

  107. Partial Differential Equations of an Epidemic Model with Spatial Diffusion

    Article • International Journal of Partial Differential Equations, January 2014, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  108. A Discrete Model for HIV Infection with Distributed Delay

    Article • International Journal of Differential Equations, January 2014, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  109. Stability Analysis of an Improved HBV Model with CTL Immune Response

    Article • International Scholarly Research Notices, January 2014, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  110. Global stability of HIV infection model with adaptive immune response and distributed time delay

    Article • Applied Mathematical Sciences, January 2014, Hikari, Ltd.

    Professor Khalid Hattaf

  111. Global analysis of a mathematical model of HCV transmission among injecting drug users and the impact of vaccination

    Article • Applied Mathematical Sciences, January 2014, Hikari, Ltd.

    Professor Khalid Hattaf

  112. Global stability for reaction–diffusion equations in biology

    Article • Computers & Mathematics with Applications, November 2013, Elsevier

    Professor Khalid Hattaf

  113. Stability Analysis of a Stochastic SIR Epidemic Model with Specific Nonlinear Incidence Rate

    Article • International Journal of Stochastic Analysis, September 2013, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  114. Stability analysis of a virus dynamics model with general incidence rate and two delays

    Article • Applied Mathematics and Computation, September 2013, Elsevier

    Professor Khalid Hattaf, Dr Abdessamad Tridane

  115. A Delay Virus Dynamics Model with General Incidence Rate

    Article • Differential Equations and Dynamical Systems, May 2013, Springer Science + Business Media

    Professor Khalid Hattaf, Dr Abdessamad Tridane

  116. Backward bifurcation and optimal control of a vector borne disease

    Article • Applied Mathematics & Information Sciences, January 2013, Scientific Publishing Center

    Professor Khalid Hattaf

  117. A delayed SIR epidemic model with a general incidence rate

    Article • Electronic journal of qualitative theory of differential equations, January 2013, University of Szeged

    Professor Khalid Hattaf

  118. Mathematical analysis of a virus dynamics model with general incidence rate and cure rate

    Article • Nonlinear Analysis Real World Applications, August 2012, Elsevier

    Professor Khalid Hattaf, Dr Abdessamad Tridane

  119. Optimal Control of a Delayed HIV Infection Model with Immune Response Using an Efficient Numerical Method

    Article • ISRN Biomathematics, January 2012, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  120. Presentation of Malaria Epidemics Using Multiple Optimal Controls

    Article • Journal of Applied Mathematics, January 2012, Hindawi Publishing Corporation

    Professor Khalid Hattaf

  121. Modeling the adaptive immune response in HBV infection

    Article • Journal of Mathematical Biology, January 2011, Springer Science + Business Media

    Professor Khalid Hattaf, Dr Abdessamad Tridane