Exactly Solvable Models of Biological Invasion

ISBN-13: 9780367392413 / Angielski / Miękka / 2019 / 232 str.

Sergei V. Petrovskii; Bai-Lian Li

Opis

Exactly Solvable Models of Biological Invasion demonstrates the advantages and methods of obtaining exact solutions of the equations that describe nonlinear problems encountered in the study of invasive species spread. The authors present a comprehensive collection of exactly solvable models and a unified, self-contained description of the relevant mathematical methods. They also provide new insight into important issues such as the impact of the Allee effect and the impact of predation. Full calculation details make this presentation accessible to biologists as well as applied mathematicians, and a range of ecological examples and applications demonstrate the utility of exact methods in practice.

Spis treści

Models of Biological Invasion. Basic Methods and Relevant Examples. Single-species Models. Density-dependent Diffusion. Models of Interacting Populations. Alternative and Complementary Approaches. Ecological Examples and Applications.

O autorze

Petrovskii, Sergei V.; Li, Bai-Lian