The dynamics of an eco-epidemiological prey-predator model with infectious diseases in prey

DOI10.1016/j.cnsns.2024.107902OpenAlexW4391849520MaRDI QIDQ6199702

Publication date: 21 March 2024

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2024.107902

zbMATH Keywords

uniqueness necessary and sufficient conditions positive equilibrium solutions eco-epidemiological prey-predator model global asymptotic stabilities

Mathematics Subject Classification ID

Epidemiology (92D30) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Cites Work

Unnamed Item
Predator-prey populations with parasitic infection
On multiplicity and stability of positive solutions of a diffusive prey-predator model
A model of predator-prey dynamics as modified by the action of a parasite
Uniform bounds from bounded \(L_ p-\)functionals in reaction-diffusion equations
Existence and uniqueness of coexistence states for the predator-prey model with diffusion: The scalar case
Modeling the role of viral disease in recurrent phytoplankton blooms
On the fixed point index and multiple steady-state solutions of reaction- diffusion systems
Note on the Lyapunov functional method
Modeling and analysis of a marine bacteriophage infection
On the indices of fixed points of mappings in cones and applications
A ratio-dependent predator-prey model with disease in the prey
Role of infection on the stability of a predator-prey system with several response functions -- a comparative study
Coexistence states of a predator-prey system with non-monotonic functional response
Positive solutions for ratio-dependent predator-prey interaction systems
Stability of Steady States for Prey–Predator Diffusion Equations with Homogeneous Dirichlet Conditions
Coexistence Theorems of Steady States for Predator-Prey Interacting Systems
On the uniqueness and ordering of steady states of predator-prey systems
A predator-prey model with disease in the prey
Some uniqueness and exact multiplicity results for a predator-prey model
Invertibility of linear noncooperative elliptic systems
Uniqueness, multiplicity and stability for positive solutions of a pair of reaction–diffusion equations
The Effect of Inhibitor on the Plasmid‐Bearing and Plasmid‐Free Model in the Unstirred Chemostat
Nonlinear Second Order Parabolic Equations

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