Prey-predator dynamics with two predator types and Michaelis-Menten predator harvesting. (English) Zbl 1508.92206
Summary: We consider the population dynamics of prey under the effect of the two types of predators. One of the predator types is harvested, modelled with a term with a Michaelis-Menten type functional form. Besides local stability analysis, we are interested that how harvesting could directly affect the dynamics of the ecosystem, such as existence and dynamics of coexistence equilibria and periodic solutions. Theoretical and numerical methods are used to study the role played by several bifurcations in the mathematical models.
MSC:
| 92D25 | Population dynamics (general) |
| 34D20 | Stability of solutions to ordinary differential equations |
| 34C23 | Bifurcation theory for ordinary differential equations |
Keywords:
prey population; two types of predator; Michaelis-Menten type functional; harvesting; stability; bifurcationReferences:
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