Stability and bifurcation of a predator-prey model with disease in the prey and temporal-spatial nonlocal effect

DOI10.1016/j.amc.2016.06.050zbMath1410.35072OpenAlexW2494963146WikidataQ115598252 ScholiaQ115598252MaRDI QIDQ1733721

Xueli Zhang, Ye-hui Huang, Pei-xuan Weng

Publication date: 21 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.amc.2016.06.050

zbMATH Keywords

predator-prey systemperiodic traveling wavestability and bifurcationdisease in the preyratio-dependent Michaelis-Menten functional responsetemporal-spatial nonlocal effect

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25)

Related Items (3)

Optimal control problem for a general reaction-diffusion eco-epidemiological model with disease in prey ⋮ Bifurcation Phenomena in a Lotka–Volterra Model with Cross-Diffusion and Delay Effect ⋮ Hopf bifurcation and hybrid control of a delayed ecoepidemiological model with nonlinear incidence rate and Holling type II functional response

Cites Work

• Unnamed Item
• Patch invasion in a spatial epidemic model
• Pattern formation of a spatial predator-prey system
• Predator-prey populations with parasitic infection
• The Hopf bifurcation theorem in infinite dimensions
• Global qualitative analysis of a ratio-dependent predator-prey system
• Mathematical biology. Vol. 1: An introduction.
• A ratio-dependent predator-prey model with disease in the prey
• A predator-prey reaction-diffusion system with nonlocal effects
• Spatial patterns of a predator-prey model with cross diffusion
• Periodic solutions in a herbivore-plant system with time delay and spatial diffusion
• Permanence and stability of a diffusive predator-prey model with disease in the prey
• Predator cannibalism can give rise to regular spatial pattern in a predator-prey system
• Bifurcation and symmetry breaking in applied mathematics
• On a modified Volterra population equation with diffusion
• Some uniqueness and exact multiplicity results for a predator-prey model
• Wavefronts and global stability in a time-delayed population model with stage structure
• Dynamics of a non-autonomous ratio-dependent predator—prey system
• Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
• Modeling and analysis of a predator-prey model with disease in the prey

This page was built for publication: Stability and bifurcation of a predator-prey model with disease in the prey and temporal-spatial nonlocal effect