Complex dynamic behavior in a food web consisting of two preys and a predator. (English) Zbl 1081.37060
The authors study the complex dynamical behaviour of a food web with two prey communities and one predator species. The prey species have intraspecific competition and no direct competition is considered between them. The modified Leslie-Gower-type dynamics is considered for the predator. The food web model with nonlinear functional response is analyzed for local and global stability. The dynamical behaviour of the system is investigated through numerical simulations.
Reviewer: Messoud A. Efendiev (Berlin)
MSC:
| 37N99 | Applications of dynamical systems |
| 92D25 | Population dynamics (general) |
| 34K23 | Complex (chaotic) behavior of solutions to functional-differential equations |
| 34D20 | Stability of solutions to ordinary differential equations |
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