| Description |
1 online resource : illustrations (chiefly color) |
| Contents |
Intro -- Preface -- Editorial Board of the BIOMAT Consortium -- Contents -- Mathematical Modeling of Macroalgae-Borne Pathogen Transmission in Corals -- 1 Introduction -- 2 The Basic Model -- 3 Equilibria and Their Stability -- 4 Discussion -- References -- Oscillatory Behavior of a Delayed Ratio-Dependent Predator-Prey System with Michaelis-Menten Functional Response -- 1 Introduction -- 2 The System with Delay -- 2.1 Exponential Fading Memory -- 2.2 Memory with a Hump -- 3 The Case of One Prey and Two Predators -- 4 Stability of the Bifurcating Periodic Solution -- References |
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Geometry of Fitness Surfaces and Dynamics of Replicator Systems -- 1 Introduction: Extremum Principles in Evolution -- 2 Fitness Landscapes of Replicator Systems -- 2.1 Game-Theoretical Approach and Evolutionary Stable Strategies -- 2.2 Lotka-Volterra System -- References -- In-Host Dynamics of the Human Papillomavirus (HPV) in the Presence of Immune Response -- 1 Introduction -- 2 Model Formulation -- 3 Preliminary Analysis of the HPV Model -- 3.1 Positivity and Boundedness of Solutions -- 4 The Disease-Free Equilibrium and the Reproduction Number R0 |
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4.1 Global Stability Analysis of the Disease-Free Equilibrium -- 4.2 The Endemic Equilibrium -- 4.3 The CTL-Activated Reproduction Number RK -- 5 Sensitivity Analysis of R0. -- 6 Numerical Simulations -- 7 Discussion and Conclusion -- References -- Global Properties and Optimal Control Strategies of a Generalized Ebola Virus Disease Model -- 1 Introduction -- 2 Sensitivity Analysis -- 3 The Model Formulation and Equilibria -- 4 The Optimal Control -- 4.1 Existence of an Optimal Control -- 4.2 Optimality System -- 5 Numerical Simulations -- 6 Conclusion -- References |
| Summary |
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 |
| Notes |
International conference proceedings |
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Includes index |
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Online resource; title from PDF title page (SpringerLink, viewed August 6, 2021) |
| Subject |
Biomathematics -- Congresses
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Epidemiology -- Mathematical models -- Congresses
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Epidemiología -- Modelos matemáticos
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Biomatemáticas
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Epidemiology -- Mathematical models
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Biomathematics
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Epidemiologia.
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Models matemàtics.
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Biomatemàtica.
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| Genre/Form |
proceedings (reports)
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Conference papers and proceedings
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Conference papers and proceedings.
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Actes de congrès.
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Congressos.
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Llibres electrònics.
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| Form |
Electronic book
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| Author |
Mondaini, Rubem P., editor.
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| ISBN |
9783030732417 |
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303073241X |
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