Almost periodic solution of a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference

DOI10.1142/S1793524514500284zbMath1305.34081OpenAlexW263047358WikidataQ115522879 ScholiaQ115522879MaRDI QIDQ2922111

Fengde Chen, Shengbin Yu

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524514500284

zbMATH Keywords

global attractivityalmost periodic solutionpermanencemutual interferenceLeslie-Gower model

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (9)

On the periodic solutions of some systems of higher order difference equations ⋮ Global asymptotical stability for a diffusive predator-prey model with ratio-dependent Holling type III functional response ⋮ Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting ⋮ Permanence and almost periodic solution of a predator–prey discrete system with Holling IV functional response ⋮ Permanence for a modified Leslie-Gower predator-prey model with Beddington-DeAngelis functional response and feedback controls ⋮ Dynamic behaviors of a competitive system with Beddington-DeAngelis functional response ⋮ The influence of fear effect to the Lotka-Volterra predator-prey system with predator has other food resource ⋮ Permanence for Leslie-Gower predator-prey system with feedback controls on time scales ⋮ Impact of Michaelis-Menten type harvesting in a Lotka-Volterra predator-prey system incorporating fear effect

Cites Work

• Permanence and almost periodic solution of a Lotka-Volterra model with mutual interference and time delays
• Dynamic behaviour of a delayed predator-prey model with harvesting
• Permanence and global asymptotical stability of a predator-prey model with mutual interference
• Existence and global attractivity of positive periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response
• 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
• Existence and global attractivity of positive periodic solutions for a predator-prey model with modified Leslie-Gower Holling-type II schemes
• Almost periodic solution for a Volterra model with mutual interference and Beddington-DeAngelis functional response
• Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with time delay
• Limit cycle and numerical similations for small and large delays in a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• Existence and global asymptotic stability of positive periodic solution for a predator-prey system with mutual interference
• Almost periodic differential equations
• Boundedness and global stability for a predator-prey model with modified Leslie-Gower and Holling-type II schemes
• The almost periodic Kolmogorov competitive systems
• Global attractivity of positive periodic solution for a Volterra model
• Dynamic behaviors of the periodic predator-prey model with modified Leslie-Gower Holling-type II schemes and impulsive effect
• An impulsive predator-prey system with modified Leslie-Gower and Holling type II schemes
• Note on the permanence of a competitive system with infinite delay and feedback controls
• ALMOST PERIODIC SOLUTION FOR A DISCRETE HEMATOPOIESIS MODEL WITH TIME DELAY
• The properties of a stochastic model for the predator-prey type of interaction between two species

This page was built for publication: Almost periodic solution of a modified Leslie–Gower predator–prey model with Holling-type II schemes and mutual interference