An impulsive predator-prey model with communicable disease in the prey species only

DOI10.1016/J.NONRWA.2008.10.010zbMath1162.92043OpenAlexW2029058652MaRDI QIDQ1021966

Zhen Jin, Maoxing Liu, Mainul Haque

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2008.10.010

zbMATH Keywords

bifurcationcoincidence degreepredatorimpulsive effecteco-epidemiologyinfected preysusceptible prey

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations with impulses (34A37) Ecology (92D40)

Related Items (14)

Threshold dynamics for periodically forced ecological systems: the control of population invasion and exclusion ⋮ Periodic solutions of a non-autonomous predator-prey system with migrating prey and disease infection: via Mawhin's coincidence degree theory ⋮ Transmission dynamics of resistant bacteria in a predator-prey system ⋮ A delayed prey-predator system with migration and disease infection ⋮ Exact solution to the periodic boundary value problem for a first-order linear fuzzy differential equation with impulses ⋮ Spreading speeds and traveling waves for monotone systems of impulsive reaction-diffusion equations: application to tree-grass interactions in fire-prone savannas ⋮ The dynamics of an eco-epidemic model with distributed time delay and impulsive control strategy ⋮ Dynamic analysis of an impulsive predator-prey model with disease in prey and Ivlev-type functional response ⋮ The dynamics of an impulsive predator-prey model with communicable disease in the prey species only ⋮ Green's function for the periodic boundary value problem related to a first-order impulsive differential equation and applications to functional problems ⋮ Dynamics of predator-prey system with migrating species and disease in prey population ⋮ Stability analysis of predator-prey system with migrating prey and disease infection in both species ⋮ Analysis of an Eco-Epidemiological Model with Migrating and Refuging Prey ⋮ Trade-off between fear level induced by predator and infection rate among prey species

Cites Work

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• Predator-prey populations with parasitic infection
• A model of predator-prey dynamics as modified by the action of a parasite
• Practical stabilization of control systems with impulse effects
• Coincidence degree, and nonlinear differential equations
• The influence of diseases on Lotka-Volterra systems
• Modeling the role of viral disease in recurrent phytoplankton blooms
• Impulsive stabilizability of autonomous systems
• Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures
• Theoretical examination of the pulse vaccination policy in the SIR epidemic model.
• Stability properties of pulse vaccination strategy in SEIR epidemic model
• The dynamical behavior of a Lotka-Volterra predator-prey model concerning integrated pest management
• GLOBAL STABILITY ANALYSIS OF AN ECO-EPIDEMIOLOGICAL MODEL OF THE SALTON SEA
• A predator–prey model with disease in the prey species only
• An ecoepidemiological model with disease in predator: the ratio‐dependent case
• Analysis of a three species eco-epidemiological model
• Modeling and analysis of a predator-prey model with disease in the prey

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