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Deterministic, Stochastic and Thermodynamic Modelling of some Interacting Species (Forum for Interdisciplinary Mathematics) - Tapa blanda

Samanta, Guruprasad

 
9789811663147: Deterministic, Stochastic and Thermodynamic Modelling of some Interacting Species (Forum for Interdisciplinary Mathematics)
Tapa blanda
ISBN 10: 9811663149 ISBN 13: 9789811663147
Editorial: Springer, 2022

Sinopsis

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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Acerca del autor

GURUPRASAD SAMANTA is Professor at the Department of Mathematics, Indian Institute of Engineering Science and Technology, Howrah, India. He earned his Ph.D. degree in applied mathematics from the University of Calcutta, India, in 1991. His research areas are mathematical biology and operations research. He has published 9 books and over 136 papers in reputed national and international journals

De la contraportada

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 to the researchers and graduate students who wish to pursue research in mathematical ecology.

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Editorial
Springer
Año de publicación
2022
Idioma
Inglés
ISBN 10 
9811663149
ISBN 13 
9789811663147
Encuadernación
Tapa blanda
Número de edición
1
Número de páginas
192
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