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
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
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)
Cites Work
- Unnamed Item
- Nonautonomous impulsive systems with unbounded nonlinear terms
- Dynamics of a two-prey one-predator system with Watt-type functional response and impulsive control strategy
- Permanence and global asymptotical stability of a predator-prey model with mutual interference
- Existence and global attractivity of a positive periodic solution to a Lotka-Volterra model with mutual interference and Holling III type functional response
- Existence and global attractivity of positive periodic solution to a Lotka-Volterra model
- Dynamics of a periodic Watt-type predator-prey system with impulsive effect
- Almost periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response
- Existence of positive periodic solutions for an impulsive semi-ratio-dependent predator-prey model with dispersion and time delays
- Existence of periodic solutions in predator-prey and competition dynamic systems
- Existence and global attractivity of positive periodic solutions for impulsive predator-prey model with dispersion and time delays
- Existence and global asymptotic stability of positive periodic solution for a predator-prey system with mutual interference
- Dynamic behaviors of the impulsive periodic multi-species predator-prey system
- Persistence and global stability for nonautonomous predator-prey system with diffusion and time delay
- Coincidence degree, and nonlinear differential equations
- Existence of positive periodic solution for nonautonomous predator-prey system with diffusion and time delay.
- Periodic solution of a Lotka-Volterra predator-prey model with dispersion and time delays.
- Global dynamics of the periodic logistic system with periodic impulsive perturbations.
- Periodic solutions and permanence for a delayed nonautonomous ratio-dependent predator-prey model with Holling type functional response.
- Persistence and stability for a two-species ratio-dependent predator-prey system with time delay in a two-patch environment
- Periodic solutions, permanence and global attractivity of a delayed impulsive prey-predator system with mutual interference
- On the linearization theorem of Fenner and Pinto
- Global attractivity of positive periodic solution for a Volterra model
- Chaotic behavior of a Watt-type predator-prey system with impulsive control strategy
- Dispersal permanence of a periodic predator-prey system with Beddington-DeAngelis functional response
This page was built for publication: Existence of positive periodic solutions for a predator-prey system of Holling type IV function response with mutual interference and impulsive effects