Displaying similar documents to “Permanence of periodic predator-prey system with general nonlinear functional response and stage structure for both predator and prey.”

Lotka-Volterra type predator-prey models: Comparison of hidden and explicit resources with a transmissible disease in the predator species

Luciana Assis, Malay Banerjee, Moiseis Cecconello, Ezio Venturino (2018)

Applications of Mathematics

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The paper deals with two mathematical models of predator-prey type where a transmissible disease spreads among the predator species only. The proposed models are analyzed and compared in order to assess the influence of hidden and explicit alternative resource for predator. The analysis shows boundedness as well as local stability and transcritical bifurcations for equilibria of systems. Numerical simulations support our theoretical analysis.

Effects of competition and predation in a three species model

Janusz Szwabiński, Andrzej Pękalski, Kamil Trojan (2008)

Banach Center Publications

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A model which consists of a predator and two prey species is presented. The prey compete for the same limited resource (food). The predator preys on both prey species but with different severity. We show that the coexistence of all three species is possible in a mean-field approach, whereas from Monte Carlo simulation it follows that the stochastic fluctuations drive one of the prey populations into extinction.

Stability and optimal harvesting of a prey-predator model with stage structure for predator

Tapan Kumar Kar (2005)

Applicationes Mathematicae

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The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.