Global exponential stability of positive almost periodic solutions for a class of two-layer Gilpin-Ayala predator-prey model with time delays
From MaRDI portal
Publication:1712104
DOI10.1186/s13662-018-1584-0zbMath1445.34102OpenAlexW2797358951WikidataQ115518880 ScholiaQ115518880MaRDI QIDQ1712104
Publication date: 21 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1584-0
Lyapunov functionalglobal exponential stabilitycoincidence degree theorypositive almost periodic solutionstwo-layer Gilpin-Ayala predator-prey model
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Almost and pseudo-almost periodic solutions to functional-differential equations (34K14) Global stability of solutions to ordinary differential equations (34D23)
Cites Work
- Unnamed Item
- Unnamed Item
- Multiple positive periodic solutions for a food-limited two-species Gilpin-Ayala competition patch system with periodic harvesting terms
- Some new results on the permanence and extinction of nonautonomous Gilpin-Ayala type competition model with delays
- Multiple positive almost periodic solutions to an impulsive non-autonomous Lotka-Volterra predator-prey system with harvesting terms
- Permanence, extinction and global attractivity of the periodic Gilpin-Ayala competition system with impulses
- Coincidence degree, and nonlinear differential equations
- Dynamic behaviors of an obligate Gilpin-Ayala system
- Optimal harvesting control and dynamics of two-species stochastic model with delays
- Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
- Four periodic solutions for a food-limited two-species gilpin-ayala type predator-prey system with harvesting terms on time scales
- An optimal stopping problem in the stochastic Gilpin-Ayala population model
- Extinction and persistence in mean of a novel delay impulsive stochastic infected predator-prey system with jumps
- Permanence of a Gilpin-Ayala predator-prey system with time-dependent delay
- Global attractivity of a generalized Lotka-Volterra competition model
- Asymptotic behaviour of the stochastic Gilpin-Ayala competition models
- Global Models of Growth and Competition