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Deterministic, Stochastic and Thermodynamic Modelling of Some Interacting Species

Deterministic, Stochastic and Thermodynamic Modelling of Some Interacting Species

Paperback

Series: Forum for Interdisciplinary Mathematics

General MathematicsGenetics

ISBN10: 9811663149
ISBN13: 9789811663147
Publisher: Springer
Published: Nov 26 2022
Pages: 178
Weight: 0.61
Height: 0.41 Width: 6.14 Depth: 9.21
Language: English

This book presents the understanding of how the different forms of regulatory mechanisms, like birth and death, competition, consumption and the like, result in changes in the stability and dynamics of ecological systems. It deals with a profound and unique insight into the mathematical richness of basic ecological models. Organised into eight chapters, the book discusses the models of mathematical ecology, the dynamical models of single-species system in a polluted environment, the dynamical behaviour of different nonautonomous two species systems in a polluted environment, the influence of environmental noise in Gompertzian and logistic growth models, stability behaviour in randomly fluctuating versus deterministic environments of two interacting species, stochastic analysis of a demographic model of urbanization and stability behaviour of a social group by means of loop analysis, thermodynamic criteria of stability and stochastic criteria of stability. The book will be useful tothe researchers and graduate students who wish to pursue research in mathematical ecology.

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Samanta, Guruprasad

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General Mathematics