Trends in Biomathematics: Chaos and Control in Epidemics, Ecosystems, and Cells

1. Front Matter

   Pages i-xi

   PDF

2. Mathematical Modeling of Macroalgae-Borne Pathogen Transmission in Corals

   • Susmita Halder, Samares Pal, Joydeb Bhattacharyya

   Pages 1-15

3. Oscillatory Behavior of a Delayed Ratio-Dependent Predator–Prey System with Michaelis–Menten Functional Response

   • Sándor Kovács, Szilvia György, Noémi Gyúró

   Pages 17-31

4. Dynamical Analysis of Phytoplankton–Zooplankton Interaction Model by Using Deterministic and Stochastic Approach

   • Anal Chatterjee, Samares Pal

   Pages 33-56

5. Predicting the COVID-19 Spread Using Compartmental Model and Extreme Value Theory with Application to Egypt and Iraq

   • Mahmoud A. Ibrahim, Amenah Al-Najafi, Attila Dénes

   Pages 57-68

6. Geometry of Fitness Surfaces and Dynamics of Replicator Systems

   • A. S. Bratus, A. S. Novozhilov, T. Yakushkina

   Pages 69-77

7. In-Host Dynamics of the Human Papillomavirus (HPV) in the Presence of Immune Response

   • Z. Chazuka, G. M. Moremedi, E. Rapoo

   Pages 79-97

8. Global Properties and Optimal Control Strategies of a Generalized Ebola Virus Disease Model

   • Zineb El Rhoubari, Hajar Besbassi, Khalid Hattaf, Noura Yousfi

   Pages 99-114

9. On Whole-Graph Embedding Techniques

   • L. Maddalena, I. Manipur, M. Manzo, M. R. Guarracino

   Pages 115-131

10. Semigroup Approaches of Cell Proliferation Models

    • Y. E. Alaoui, L. Alaoui

    Pages 133-145

11. Viability Analysis of Labor Force in an Agroforestry System

    • I. M. Cholo Camargo, J. A. Amador Moncada, C. A. Peña Rincón, G. Olivart Tost

    Pages 147-167

12. Modeling Covid-19 Considering Asymptomatic Cases and Avoided Contacts

    • Iulia Martina Bulai

    Pages 169-182

13. On the Stability of Periodic Solutions of an Impulsive System Arising in the Control of Agroecosystems

    • Youcef Belgaid, Mohamed Helal, Abdelkader Lakmeche, Ezio Venturino

    Pages 183-199

14. A Jaccard-Like Symbol and Its Usefulness in the Derivation of Amino Acid Distributions in Protein Domain Families

    • Rubem P. Mondaini, Simão C. de Albuquerque Neto

    Pages 201-220

15. When Ideas Go Viral—Complex Bifurcations in a Two-Stage Transmission Model

    • J. Heidecke, M. V. Barbarossa

    Pages 221-242

16. Dynamic Analysis of SLIR Model Describing the Effectiveness of Quarantine Against the Spread of COVID-19

    • Omar Khyar, Karam Allali

    Pages 243-259

17. Non-FSI 3D Hemodynamic Simulations in Time-Dependent Domains

    • Y. V. Vassilevski, O. N. Bogdanov, X. V. Chesnokova, A. A. Danilov, T. K. Dobroserdova, D. D. Dobrovolsky et al.

    Pages 261-269

18. Co-existence of Chaos and Control in Generalized Lotka–Volterra Biological Model: A Comprehensive Analysis

    • Taqseer Khan, Harindri Chaudhary

    Pages 271-279

19. Global Dynamics of a Model for Anaerobic Wastewater Treatment Process

    • S. Barua, A. Dénes

    Pages 281-291

20. Spatiotemporal Dynamics of Fractional Hepatitis B Virus Infection Model with Humoral and Cellular Immunity

    • Moussa Bachraoui, Khalid Hattaf, Noura Yousfi

    Pages 293-313

This volume gathers together selected, peer-reviewed papers presented at the BIOMAT 2020 International Symposium, which was virtually held on November 1-6, 2020, with an organization staff based in Rio de Janeiro, Brazil. Topics covered in this volume include infection modeling, with an emphasis on different aspects of the COVID-19 and novel Coronavirus spread; a description of the effectiveness of quarantine measures via dynamic analysis of SLIR model; hemodynamic simulations in time-dependent domains; an optimal control model for the Ebola disease; and the co-existence of chaos and control in the context of biological models. Texts in agroforestry, economic development, and wastewater treatment processes complete this volume.
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 20th edition of the BIOMAT International Symposium has received contributions by authors from 18 countries: Algeria, Brazil, Cameroon, Canada, Chile, China (Hong Kong), Colombia, Germany, Hungary, India, Italy, Morocco, Nigeria, Russia, Senegal, South Africa, USA, and Uzbekistan. Previous BIOMAT volumes with selected works from 2017, 2018, and 2019 were also published by Springer.

• COVID-19
• HPV
• Ebola
• Coronavirus
• mathematical modelling
• computational modelling
• predator-prey system
• SLIR model
• Lotka-Volterra biological model
• BIOMAT Lectures
• BIOMAT Consortium
• Macroalgae-borne pathogen
• Michaelis-Menten functional response
• Phytoplankton-zooplankton interaction model
• replicator systems
• human papillomavirus
• cell proliferation model
• Hepatitis B virus infection
• agent-based model
• BCL2

• President, BIOMAT Consortium, International Institute for Interdisciplinary Sciences, Rio de Janeiro, Brazil

  Rubem P. Mondaini

​Rubem P. Mondaini is President of the BIOMAT Consortium/International Institute for Interdisciplinary Sciences and a Full Professor of Mathematical Biology and Biological Physics at the Federal University of Rio de Janeiro, Brazil. He holds a PhD in Theoretical Physics from the Brazilian Centre for Physical Research, Brazil.  His research activities abroad include a period as a Visiting Scientist at the International Centre for Theoretical Physics (ICTP), Trieste, Italy (1978) and as a Senior Postdoc at the Department of Mathematics of King's College, University of London, UK (1986).  He was also a Visiting Professor at the Centre of Physics of Condensed Matter, Lisbon, Portugal (1986) and at the Department of Chemical Engineering of Princeton University (2008).  He has been the Chairman of the Annual BIOMAT Conferences since their inception during the BIOMAT 2001 Symposium in Rio de Janeiro, Brazil.

Policies and ethics