Single Species Population Dynamics: Linear and Nonlinear First Order Discrete Time Models, Differential Equation Models, Evolutionary Aspects, Continuous Models and Discrete Models. Population Dynamics of Interacting Species: Host-parasitoid Interactions, The Lotka-Volterra Prey-predator Equations, Modelling the Predator Functional Response, Ecosystems Modelling, Interacting Metapopulations. Infection Diseases: The Simple Epidemic and SIS Diseases, SIR Epidemics, SIR Endemics, Eradication and Control, Age-structured Population, Basic Model for Macroparasitic Diseases.
Biological motion: Macroscopic Theory of Motion; A Continuum Approach, Directed Motion, or Taxis, Steady State Equations and Transit Times. Molecular and cellular biology: Biochemical kinetics, Metabolic Pathways, Neural Modelling. Tumour modeling, Pharmaco kinetics. |
Text/Reference Books:
- Britton M. F. Essential Mathematical Biology, Springer
- Rubinow S. I. Introduction to Mathematical Biology, Dover
- Murray J.D. Mathematical Biology I. An Introduction, Springer
- Kapur J. N. Mathematical Models in Biology and Medicine,Affliated East -West Private Ltd.
- Hull D. L. The Philosophy of Biological Science, Prentice- Hall
- Black S. The Nature of Living Things, An Essay on Theoretical Biology, William Heinmann Medical Books Ltd
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