Dynamical Systems And Population Persistence
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Description
The Mathematical Theory Of Persistence Answers Questions Such As Which Species, In A Mathematical Model Of Interacting Species, Will Survive Over The Long Term. It Applies To Infinite-Dimensional As Well As To Finite-Dimensional Dynamical Systems, And To Discrete-Time As Well As To Continuous-Time Semiflows. This Book Provides A Self-Contained Treatment Of Persistence Theory That Is Accessible To Graduate Students. Applications Play A Large Role From The Beginning. These Include Ode Models Such As Se I Rs Infectious Disease In A Meta-Population And Discrete-Time Nonlinear Matrix Models Of Demographic Dynamics. Entire Chapters Are Devoted To Infinite-Dimensional Examples Including An Si Epidemic Model With Variable Infectivity, Microbial Growth In A Tubular Bioreactor, And An Age-Structured Model Of Cells Growing In A Chemostat..
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