Deterministic, Stochastic and Thermodynamic Modelling of some Interacting Species

Guruprasad Samanta (Autor)

Buch | Hardcover

178 Seiten

2021 | 1st ed. 2021
Springer Verlag, Singapore
978-981-16-6311-6 (ISBN)

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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.

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

Chapter 1. Dynamical models of single and predator-prey species.- Chapter 2. Dynamical models of single-species in polluted environment.- Chapter 3. Nonautonomous two species systems in polluted environment.- Chapter 4. Single-species systems in polluted environment.- Chapter 5. Stability Behaviour of two Interacting Species in Randomly Fluctuating and Deterministic Environments.- Chapter 6. Stochastic analysis of a demographic model of urbanization.- Chapter 7. Non-Equilibrium Thermodynamics of Interacting Species.- Chapter 8. Stability of a social group.

Erscheinungsdatum	06.12.2021
Reihe/Serie	Forum for Interdisciplinary Mathematics
Zusatzinfo	10 Illustrations, color; 7 Illustrations, black and white; XIII, 178 p. 17 illus., 10 illus. in color.
Verlagsort	Singapore
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Biologie ► Evolution
	Naturwissenschaften ► Biologie ► Genetik / Molekularbiologie
Schlagworte	Interacting Species • Mathematical Biology • Mathematical Ecology • Mathematical Modelling • Nonautonomous system • population dynamics • stochastic differential equation
ISBN-10	981-16-6311-4 / 9811663114
ISBN-13	978-981-16-6311-6 / 9789811663116
Zustand	Neuware