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The lingering phenomenon and pattern formation in a nonlocal population model with cognitive map
The rates at which individuals memorize and forget environmental information strongly influence their movement paths and long-term space use. To understand how these cognitive time scales shape population-level patterns, we propose and analyse a nonlocal
Kyung-Han Choi, Thomas Hillen
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Flowering plants depend on some animals for pollination and contribute to nourish the animals in natural environments. We call these animals pollinators and build a plants-pollinators cooperative model with impulsive effect on a periodically evolving ...
Jie Wang +3 more
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Consequences of Culling in Deterministic ODE Predator-Prey Models [PDF]
We show, within the context of the standard class of deterministic ODE predator-prey mathematical models, that predator culling does not produce a long term decrease in the predator population.
core +1 more source
This paper develops a bifurcation and stability analysis for reaction-diffusion-advection systems incorporating three mathematically challenging features: directed movement along environmental gradients, nonlocal time-delayed competition, and nonlinear ...
Chenyuan Tian, Shangjiang Guo
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The effect of population migration on the diffusion of cholera outbreaks in metapopulations
Mahir Demir
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Ecological Models, Permanence and Spatial Heterogeneity
Rocky Mountain Journal of Mathematics, 1996George Christopher Cosner, V Hutson
exaly
Exact Solutions of a Competition-Diffusion System
Hiroshima Mathematical Journal, 2000Masayasu Mimura
exaly
On a Logistic Equation With Piecewise Constant Arguments
Differential and Integral Equations, 1991G Ladas
exaly
Existence and Uniqueness of Coexistence States for a Predator-Prey Model With Diffusion
Differential and Integral Equations, 1994Julián López Gómez
exaly

