Existence of positive periodic solutions for a predator-prey system of Holling type IV function response with mutual interference and impulsive effects

DOI10.1155/2015/138984zbMath1418.92110OpenAlexW2067359233WikidataQ59105295 ScholiaQ59105295MaRDI QIDQ1723182

Haidong Liu, Fan Wei Meng

Publication date: 19 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/138984

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (13)

Dynamics of a non-autonomous predator-prey system with Hassell-Varley-Holling II function response and mutual interference ⋮ Some generalized Volterra-Fredholm type dynamical integral inequalities in two independent variables on time scale pairs ⋮ Impulsive control on seasonally perturbed general Holling type two-prey one-predator model ⋮ Lyapunov-type inequalities for second-order boundary value problems with a parameter ⋮ A sufficient and necessary condition of existence of blow-up radial solutions for a k-Hessian equation with a nonlinear operator ⋮ Some new half-linear integral inequalities on time scales and applications ⋮ Lyapunov-type inequalities for certain higher-order half-linear differential equations ⋮ Lyapunov-type inequalities for higher-order half-linear difference equations ⋮ Lyapunov-type inequalities for generalized one-dimensional Minkowski-curvature problems ⋮ The iterative scheme and the convergence analysis of unique solution for a singular fractional differential equation from the eco-economic complex system's co-evolution process ⋮ HALF-LINEAR VOLTERRA-FREDHOLM TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS ⋮ A singular fractional Kelvin-Voigt model involving a nonlinear operator and their convergence properties ⋮ A class of new nonlinear dynamic integral inequalities containing integration on infinite interval on time scales

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