Trends in biomathematics : mathematical modeling for health, harvesting, and population dynamics : selected works presented at the BIOMAT Consortium Lectures, Morocco 2018

This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2018 International Symposium, which was held at the University Hassan II, Morocco, from October 29th to November 2nd, 2018. The topics covered include applications of mathematical modeling in hepatitis B, HIV and Chikungunya infections; tumor cell dynamics; inflammatory processes; chemotherapeutic drug effects; and population dynamics. Also discussing the application of techniques like the generalized stochastic Milevsky-Promislov model, numerical simulations and convergence of discrete and continuous models, it is an invaluable resource on interdisciplinary research in mathematical biology for students, researchers, and professionals. Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. The 2018 edition of BIOMAT International Symposium received contributions by authors from seventeen countries: Algeria, Brazil, Cameroon, Canada, Chad, Colombia, France, Germany, Hungary, Italy, Mali, Morocco, Nigeria, Poland, Portugal, Russia, and Senegal. Selected papers presented at the 2017 edition of this Symposium were also published by Springer, in the volume “Trends in Biomathematics: Modeling, Optimization and Computational Problems” (978-3-319-91091-8). Front Matter ....Pages i-xi Mathematical Modeling of Thrombin Generation and Wave Propagation: From Simple to Complex Models and Backwards (Alexey Tokarev, Nicolas Ratto, Vitaly Volpert)....Pages 1-22 Optimal Control of a Delayed Hepatitis B Viral Infection Model with DNA-Containing Capsids and Cure Rate (Adil Meskaf, Karam Allali)....Pages 23-33 Dynamics of a Generalized Model for Ebola Virus Disease (Zineb El Rhoubari, Hajar Besbassi, Khalid Hattaf, Noura Yousfi)....Pages 35-46 Bifurcations in a Mathematical Model for Study of the Human Population and Natural Resource Exploitation (I. M. Cholo Camargo, G. Olivar Tost, I. Dikariev)....Pages 47-58 Mathematical Analysis of the Dynamics of HIV Infection with CTL Immune Response and Cure Rate (Sanaa Harroudi, Karam Allali)....Pages 59-70 Qualitative Analysis of a PDE Model of Telomere Loss in a Proliferating Cell Population in the Light of Suns and Stars (Y. Elalaoui, L. Alaoui)....Pages 71-85 The Threshold of a Stochastic SIQR Epidemic Model with Lévy Jumps (Driss Kiouach, Yassine Sabbar)....Pages 87-105 Global Dynamics of a Generalized Chikungunya Virus (Hajar Besbassi, Zineb El Rhoubari, Khalid Hattaf, Noura Yousfi)....Pages 107-117 Differential Game Model for Sustainability Multi-Fishery (Nadia Raissi, Chata Sanogo, Mustapha Serhani)....Pages 119-137 Towards a Thermostatistics of the Evolution of Protein Domains Through the Formation of Families and Clans (Rubem P. Mondaini, Simão C. de Albuquerque Neto)....Pages 139-152 Analysis of Tumor/Effector Cell Dynamics and Decision Support in Therapy (S. Sabir, N. Raissi)....Pages 153-164 Optimal Control of an HIV Infection Model with Logistic Growth, CTL Immune Response and Infected Cells in Eclipse Phase (Jaouad Danane, Karam Allali)....Pages 165-176 Khinchin–Shannon Generalized Inequalities for “Non-additive” Entropy Measures (Rubem P. Mondaini, Simão C. de Albuquerque Neto)....Pages 177-190 Application of the Markov Chains in the Prediction of the Mortality Rates in the Generalized Stochastic Milevsky–Promislov Model (Piotr S̀liwka)....Pages 191-208 Modelling the Role of Vector Transmission of Aphid Bacterial Endosymbionts and the Protection Against Parasitoid Wasps (Sharon Zytynska, Ezio Venturino)....Pages 209-230 The Incorporation of Fractal Kinetics in the PK Modeling of Chemotherapeutic Drugs with Nonlinear Concentration-Time Profiles (Tahmina Akhter, Sivabal Sivaloganathan)....Pages 231-254 Mathematical Modeling of Inflammatory Processes (O. Kafi, A. Sequeira)....Pages 255-269 Modeling the Memory and Adaptive Immunity in Viral Infection (Adnane Boukhouima, Khalid Hattaf, Noura Yousfi)....Pages 271-297 Optimal Temporary Vaccination Strategies for Epidemic Outbreaks (K. Muqbel, A. Dénes, G. Röst)....Pages 299-307 On the Reproduction Number of Epidemics with Sub-exponential Growth (D. Champredon, Seyed M. Moghadas)....Pages 309-320 Numerical Simulations for Cardiac Electrophysiology Problems (Alexey Y. Chernyshenko, A. A. Danilov, Y. V. Vassilevski)....Pages 321-329 Hopf Bifurcation in a Delayed Herd Harvesting Model and Herbivory Optimization Hypothesis (Abdoulaye Mendy, Mountaga Lam, Jean Jules Tewa)....Pages 331-358 A Fractional Order Model for HBV Infection with Capsids and Cure Rate (Moussa Bachraou, Khalid Hattaf, Noura Yousfi)....Pages 359-371 Modeling Anaerobic Digestion Using Stochastic Approaches (Oussama Hadj Abdelkader, A. Hadj Abdelkader)....Pages 373-396 Alzheimer Disease: Convergence Result from a Discrete Model Towards a Continuous One (M. Caléro, I. S. Ciuperca, L. Pujo-Menjouet, L. M. Tine)....Pages 397-431 Back Matter ....Pages 433-437 "This volume offers a collection of carefully selected, peer-reviewed papers presented at the BIOMAT 2018 International Symposium, which was held at the University Hassan II, Morocco, from October 29th to November 2nd, 2018. The topics covered include applications of mathematical modeling in hepatitis B, HIV and Chikungunya infections; tumor cell dynamics; inflammatory processes; chemotherapeutic drug effects; and population dynamics. Also discussing the application of techniques like the generalized stochastic Milevsky-Promislov model, numerical simulations and convergence of discrete and continuous models, it is an invaluable resource on interdisciplinary research in mathematical biology for students, researchers, and professionals. Held every year since 2001, the BIOMAT International Symposium gathers together, in a single conference, researchers from Mathematics, Physics, Biology, and affine fields to promote the interdisciplinary exchange of results, ideas and techniques, promoting truly international cooperation for problem discussion. The 2018 edition of BIOMAT International Symposium received contributions by authors from seventeen countries: Algeria, Brazil, Cameroon, Canada, Chad, Colombia, France, Germany, Hungary, Italy, Mali, Morocco, Nigeria, Poland, Portugal, Russia, and Senegal. Selected papers presented at the 2017 edition of this Symposium were also published by Springer, in the volume "Trends in Biomathematics: Modeling, Optimization and Computational Problems." -- prové de l'editor "This book brings together carefully selected, peer-reviewed works on mathematical biology presented at the BIOMAT International Symposium on Mathematical and Computational Biology, which was held at the Institute of Numerical Mathematics, Russian Academy of Sciences, in October 2017, in Moscow. Topics covered include, but are not limited to, the evolution of spatial patterns on metapopulations, problems related to cardiovascular diseases and modeled by boundary control techniques in hemodynamics, algebraic modeling of the genetic code, and multi-step biochemical pathways. Also, new results are presented on topics like pattern recognition of probability distribution of amino acids, somitogenesis through reaction-diffusion models, mathematical modeling of infectious diseases, and many others. Experts, scientific practitioners, graduate students and professionals working in various interdisciplinary fields will find this book a rich resource for research and applications alike."-- Provided by publisher