This chapter explores population dynamics and infectious disease systems in random environments modeled by switching diffusions. It first develops a general theory for coexistence and persistence of population dynamics driven by switching diffusions, followed by in-depth investigations of a chemostat model and an infectious disease model with vaccination.

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Population Dynamics Modeled by Switching Diffusion

  • Hai-Dang Nguyen,
  • George Yin,
  • Chao Zhu

摘要

This chapter explores population dynamics and infectious disease systems in random environments modeled by switching diffusions. It first develops a general theory for coexistence and persistence of population dynamics driven by switching diffusions, followed by in-depth investigations of a chemostat model and an infectious disease model with vaccination.