Stochastic Analysis For Some Non-Linear Epidemic Models - Softcover

Settati, Adel; Lahrouz, Aadil; El Idrissi, Mourad

 
9783659463532: Stochastic Analysis For Some Non-Linear Epidemic Models
Softcover
ISBN 10: 3659463531 ISBN 13: 9783659463532
Publisher: LAP Lambert Academic Publishing, 2024

Synopsis

Stochastic calculus has emerged as a robust mathematical framework for modeling complex biological systems characterized by inherent randomness and uncertainty. Unlike traditional deterministic models, which often fail to capture the variability observed in biological processes, stochastic calculus allows for directly incorporating noise and random fluctuations into the modeling equations. This approach is efficient in areas such as population dynamics, gene expression, neural activity, and the spread of infectious diseases, where biological systems are influenced by numerous random factors at both the microscopic and macroscopic levels. By utilizing tools such as stochastic differential equations (SDEs) and the Itô calculus, researchers can describe the temporal evolution of biological systems in a manner that accounts for both the deterministic trends and stochastic perturbations.

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

Publisher
LAP Lambert Academic Publishing
Publication date
2024
Language
English
ISBN 10 
3659463531
ISBN 13 
9783659463532
Binding
Paperback
Number of pages
80