Probability Analysis of Selected Population Models - Brossura

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

 
9786208222802: Probability Analysis of Selected Population Models
Brossura
ISBN 10: 620822280X ISBN 13: 9786208222802
Casa editrice: LAP LAMBERT Academic Publishing, 2024

Sinossi

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.

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Editore
LAP LAMBERT Academic Publishing
Data di pubblicazione
2024
Lingua
Inglese
ISBN 10 
620822280X
ISBN 13 
9786208222802
Rilegatura
Copertina flessibile
Numero di pagine
100
Contatto del produttore
non disponibile
Persona responsabile
KreGa Onlinehandel GmbH
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