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Prey–Predator Dynamics with Two Predator Types and Michaelis–Menten Predator Harvesting

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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… Click to show full abstract

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.

Keywords: michaelis menten; prey predator; dynamics two; predator dynamics; predator; predator types

Journal Title: Differential Equations and Dynamical Systems
Year Published: 2019

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