Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure.
Song, Xinyu, Ge, Zhihao, Wu, Jingang (2006)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Non local reaction-diffusion equations modelling predator-prey coevolution.”
Stability analysis of a ratio-dependent predator-prey system with diffusion and stage structure.
Diffusive instability in a prey-predator system with time-dependent diffusivity.
Bhattacharyya, Rakhi, Mukhopadhyay, Banibrata, Bandyopadhyay, Malay (2003)
International Journal of Mathematics and Mathematical Sciences
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Evolutionary distributions in adaptive space.
Cohen, Yosef (2005)
Journal of Applied Mathematics
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Some mathematical problems arising in heterogeneous insular ecological models.
Sébastien Gaucel, Michel Langlais (2002)
RACSAM
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En esta nota se analizan dos modelos matemáticos deterministas planteados en problemas ecológicos causados por la introducción de nuevas especies en ambientes insulares heterogéneos. En el primero desarrollamos un modelo epidemológico con transmisión indirecta del virus por medio del ambiente. En el segundo se introduce un modelo específico de depredador-presa que exhibe la extinción en tiempo finito de las especies. Ambos modelos involucran sistemas de ecuaciones en derivadas parciales...
Existence and uniqueness for the predator-prey model with diffusion in the scalar case.
Julián López-Gómez, Rosa Pardo (1991)
Extracta Mathematicae
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We solve the problem of the existence and uniqueness of coexistence states for the classical predator-prey model of Lotka-Volterra with diffusion in the scalar case.
A Minimal Model of Pursuit-Evasion in a Predator-Prey System
Y. Tyutyunov, L. Titova, R. Arditi (2010)
Mathematical Modelling of Natural Phenomena
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A conceptual minimal model demonstrating spatially heterogeneous wave regimes interpreted as pursuit-evasion in predator-prey system is constructed and investigated. The model is based on the earlier proposed hypothesis that taxis accelerations of prey and predators are proportional to the density gradient of another population playing a role of taxis stimulus. Considering acceleration rather than immediate velocity allows obtaining realistic solutions even while ignoring variations...