Multiple periodic solutions for impulsive Gause-type ratio-dependent predator-prey systems with non-monotonic numerical responses

DOI10.1016/j.amc.2011.02.049zbMath1221.92077OpenAlexW2062085759WikidataQ115598556 ScholiaQ115598556MaRDI QIDQ535438

Binxiang Dai, Zhenguo Luo, Ying Li

Publication date: 11 May 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.02.049

zbMATH Keywords

multiple periodic solutionscontinuation theoremnon-monotonic functional responseimpulsive predator-prey system

Mathematics Subject Classification ID

Applications of functional analysis in biology and other sciences (46N60) Integro-ordinary differential equations (45J05) Periodic solutions of integral equations (45M15) Ecology (92D40)

Related Items (6)

Existence of four periodic solutions for a generalized delayed ratio-dependent predator-prey system ⋮ Positive periodic solutions for impulsive Gause-type predator-prey systems ⋮ Periodic solutions for second order Hamiltonian systems with impulses via the local linking theorem ⋮ Periodic solutions generated by impulses for state-dependent impulsive differential equation ⋮ Solvability of second-order Hamiltonian systems with impulses via variational method ⋮ Some uniqueness and multiplicity results for a predator-prey dynamics with a nonlinear growth rate

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