An Introduction to Mathematical Population Dynamics Along the trail of Volterra and Lotka /

• Main Authors: Iannelli, Mimmo (Author), Pugliese, Andrea (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: UNITEXT, 79
• Subjects: Mathematics.; Ecology.; Applied mathematics.; Engineering mathematics.; Biomathematics.; Mathematical and Computational Biology.; Theoretical Ecology/Statistics.; Applications of Mathematics.

This book is an introduction to mathematical biology for students with no experience in biology, but who have some mathematical background. The work is focused on population dynamics and ecology, following a tradition that goes back to Lotka and Volterra, and includes a part devoted to the spread of...

Table of Contents:

• 1 Malthus, Verhulst and all that
• 2 Delayed population models
• 3 Models of discrete-time population growth
• 4 Stochastic modeling of population growth
• 5 Spatial spread of a population
• 6 Prey-predator models
• 7 Competition among species
• 8 Mathematical modeling of epidemics
• 9 Models with several species and trophic levels
• 10 Appendices: A Basic theory of Ordinary Differential Equations; B Delay Equations; C Discrete dynamics; D Continuous-time Markov chains.