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12. Population Dynamics Modeled by Switching Diffusion

  • 2025
  • OriginalPaper
  • Chapter
Published in:
Authors
Hai-Dang Nguyen
George Yin
Chao Zhu
Published in
Hybrid Switching Diffusions
Publisher
Springer Nature Switzerland

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Abstract

This chapter delves into the modeling of population and infectious disease systems under random environments using switching diffusions. It begins with a general theory for coexistence and persistence, focusing on Lotka-Volterra models and their applications. The text then explores specific models, including a chemostat model and an infectious disease model with vaccination, highlighting the conditions under which these systems exhibit persistence or extinction. The chapter also discusses the long-term behavior of these systems, providing insights into their stability and dynamics. Through rigorous mathematical analysis and practical examples, the chapter offers a comprehensive understanding of how environmental stochasticity influences population dynamics and disease spread.
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previous chapter Past-Dependent Switching Diffusion
Title
Population Dynamics Modeled by Switching Diffusion
Authors
Hai-Dang Nguyen
George Yin
Chao Zhu
Copyright Year
2025
Book
Hybrid Switching Diffusions

Print ISBN: 978-3-031-93302-8

Electronic ISBN: 978-3-031-93303-5

Copyright Year: 2025

DOI
https://doi.org/10.1007/978-3-031-93303-5_12
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