Mathematical Biology

Continuous Population Models, Exponential Growth and Logistic Population Model, Harvesting in Population models, Continuous Single-Species population, Models with delays, Models with distributed Delay, Models for interacting Species, Introduction and Mathematical Preliminaries, The Lotka-Volterra Equations, Equilibria and Linearization, Qualitative Behaviour of Solutions of Linear Systems, Periodic Solutions and limit Cycles. Continuous Models for Two  Interacting Populations. Species in Competion, Predator-Prey systems, Kolmogorov Models, The Nature of Interactions Between Species, Invading Species and Coexistence. Harvesting in two species Models, Harvesting of Species in Competition, Harvesting of Prey-Predator Systems, Some Economic Aspects of Harvesting. Models for populations with Spatial Structure, Epidemic Models, The simple Kermack-McKendrick Epidemic Model, An SIR Model With a General Infectious Period. A Vaccination Model, Models for endemic diseases, A model for Diseases with no immunity, The SIR Model with Birth and Death.

Textbook: Brauer, Fred, Castillo-Chaves Carlos, mathematical Models in Population Biology and Epidemiology, Springer, 2012

References:

1. Martcheva, Maia, An introduction to Mathematical Epidmiology, Springer, 2015.
2. Brauer, Fred, van den Driessche, Pauline, Wu Jianhong, Mathematical  Epidemiology, Springer, 2008
3. Kuang, Y., Delay differential equations with applications in population dynamics, Academic Press, 1993.
4.  Lewis, M. A., Chaplain, M. A. J., Keener, J. P., Maini, Ph. K. (editors), Mathematical biology, AMS, 2009.
5.  Murray, J. D., Mathematical biology, I: An Introduction, 3rd Ed., Springer, 2007

 Murray, J. D., Mathematical biology, II: Spatial models and biomedical applications, 3rd Ed., Springer, 2003.