Abstract
We analyze the global behavior of a predator-prey system, modelled by a pair of non-linear ordinary differential equations, under constant-rate prey harvesting. By methods analogous to those used to study predator harvesting, we characterize the theoretically possible structures and transitions. With the aid of a computer simulation we construct examples to show which of these transitions can be realized in a biologically plausible model.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 55-71 |
| Number of pages | 17 |
| Journal | Journal Of Mathematical Biology |
| Volume | 8 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 1979 |
| Externally published | Yes |
Keywords
- Catastrophes
- Predator-prey systems
- Stability
ASJC Scopus subject areas
- Modeling and Simulation
- Agricultural and Biological Sciences (miscellaneous)
- Applied Mathematics