Abstract
This paper proves the global existence and boundedness of solutions to a general reaction-diffusion predator-prey system with prey-taxis defined on a smooth bounded domain with no-flux boundary condition. The result holds for domains in arbitrary spatial dimension and small prey-taxis sensitivity coefficient. This paper also proves the existence of a global attractor and the uniform persistence of the system under some additional conditions. Applications to models from ecology and chemotaxis are discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 5847-5874 |
| Number of pages | 28 |
| Journal | Journal of Differential Equations |
| Volume | 260 |
| Issue number | 7 |
| DOIs | |
| State | Published - 5 Apr 2016 |
Keywords
- Boundedness
- Global existence
- Predator-prey model
- Reaction-diffusion system with prey-taxis
- Uniform persistence
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