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Title
Deterministic, stochastic and thermodynamic modelling of some interacting species / Guruprasad Samanta.
ISBN
9789811663123 (electronic bk.)
9811663122 (electronic bk.)
9789811663116
9811663114
Published
Singapore : Springer, [2021]
Copyright
©2021
Language
English
Description
1 online resource (xiii, 178 pages)
Item Number
10.1007/978-981-16-6312-3 doi
Call Number
QH541.15.M3 S36 2021
Dewey Decimal Classification
577.01/5118
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Digital File Characteristics
text file
PDF
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed December 6, 2021).
Series
Forum for interdisciplinary mathematics. 2364-6756
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.
