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612-822-4611
Exploring Stochastic Approaches to Epidemic Modeling: Concepts and Use

Exploring Stochastic Approaches to Epidemic Modeling: Concepts and Use

Paperback

Probability & Statistics

ISBN10: 6208414873
ISBN13: 9786208414870
Publisher: LAP Lambert Academic Publishing
Published: Nov 26 2024
Pages: 88
Weight: 0.31
Height: 0.21 Width: 6.00 Depth: 9.00
Language: English
Stochastic calculus has become an essential mathematical tool for modeling complex biological systems characterized by randomness and uncertainty. Unlike deterministic models, which may overlook the variability inherent in biological processes, stochastic calculus allows for explicitly incorporating noise and random fluctuations into the governing equations. This approach has proven particularly effective in fields such as population dynamics, gene regulation, neural activity, and the transmission of infectious diseases, where systems are influenced by random factors at both micro and macro scales. Researchers can use stochastic differential equations (SDEs) and Itô calculus to model biological systems' temporal evolution, accounting for deterministic components and stochastic disturbances. Applying stochastic calculus in biological modeling improves the precision of predictions and deepens our understanding of the mechanisms driving biological variability. As the discipline progresses, stochastic calculus is expected to play a growing role in enhancing our comprehension of complex biological phenomena and optimizing interventions in medicine, ecology, and biotechnology.

Also from

Settati, Adel

Also in

Probability & Statistics