Study of a prey-predator dynamics under the simultaneous effect of toxicant and disease.

Sinha, Sudipa; Misra, O.P.; Dhar, Joydip

Displaying similar documents to “Study of a prey-predator dynamics under the simultaneous effect of toxicant and disease.”

Permanence in logistic and Lotka-Volterra systems with dispersal and time delays.

Cui, Jingan, Guo, Mingna (2005)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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Stability for a diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes

Yanling Tian (2014)

Applications of Mathematics

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A diffusive delayed predator-prey model with modified Leslie-Gower and Holling-type II schemes is considered. Local stability for each constant steady state is studied by analyzing the eigenvalues. Some simple and easily verifiable sufficient conditions for global stability are obtained by virtue of the stability of the related FDE and some monotonous iterative sequences. Numerical simulations and reasonable biological explanations are carried out to illustrate the main results and the...

Analysis of a single species with diffusion in a polluted environment.

Wang, Jing, Wang, Ke (2006)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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A predator-prey model with combined death and competition terms

Joon Hyuk Kang, Jungho Lee (2010)

Czechoslovak Mathematical Journal

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The existence of a positive solution for the generalized predator-prey model for two species $\begin{matrix} Δ u + u (a + g (u, v)) = 0 in Ω, \\ Δ v + v (d + h (u, v)) = 0 in Ω, \\ u = v = 0 on \partial Ω, \end{matrix}$ are investigated. The techniques used in the paper are the elliptic theory, upper-lower solutions, maximum principles and spectrum estimates. The arguments also rely on some detailed properties of the solution of logistic equations.