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92-XX Biology and other natural sciences
92Dxx Genetics and population dynamics

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Long-Time Simulation of a Size-Structured Population Model with a Dynamical Resource

L. M. Abia, O. Angulo, J. C. López-Marcos, M. A. López-Marcos (2010)

Mathematical Modelling of Natural Phenomena

In this paper, we study the numerical approximation of a size-structured population model whose dependency on the environment is managed by the evolution of a vital resource. We show that this is a difficult task: some numerical methods are not suitable for a long-time integration. We analyze the reasons for the failure.

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

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.

Currently displaying 21 – 22 of 22

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