Deterministic, Stochastic and Thermodynamic Modelling of some Interacting Species - Brossura

Samanta, Guruprasad

Brossura

ISBN 10: 9811663149 ISBN 13: 9789811663147

Casa editrice: Springer, 2022

Riassunto

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.

Su questo libro

Informazioni sull?autore

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

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2022
• Lingua: Inglese
• ISBN 10: 9811663149
• ISBN 13: 9789811663147
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 192
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania