Probability Analysis of Selected Population Models - Softcover

SETTATI, Adel; LAHROUZ, Aadil; EL IDRISSI, Mourad

 
9786208222802: Probability Analysis of Selected Population Models
Softcover
ISBN 10: 620822280X ISBN 13: 9786208222802
Publisher: LAP LAMBERT Academic Publishing, 2024

Synopsis

This book explores the dynamics of some population models under stochastic perturbations and regime switching across different environmental patches. By integrating Markovian switching processes, we investigate the stability and ergodicity characteristics of the model, providing insights into how random fluctuations and discrete regime shifts impact population persistence and extinction probabilities. The research initially focuses on the stability and ergodicity of some stochastic models under regime switching, highlighting how environmental variability across patches influences the long-term behavior of the population. Mathematical analysis and numerical simulations demonstrate that the model exhibits varying degrees of stability depending on the stochastic parameters and the switching mechanisms involved. Further, the analysis extends to the impact of Markovian switching on the population model, elucidating how changes in environmental states governed by a Markov process affect population dynamics. This study examines the conditions under which the population persists or faces extinction, considering both slow and fast switching regimes.

"synopsis" may belong to another edition of this title.

Publisher
LAP LAMBERT Academic Publishing
Publication date
2024
Language
English
ISBN 10 
620822280X
ISBN 13 
9786208222802
Binding
Paperback
Number of pages
100