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

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

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