A ratio-dependent predator-prey model with Allee effect and disease in prey
From MaRDI portal
Publication:2354206
DOI10.1007/s12190-014-0779-0zbMath1320.92074OpenAlexW2005743593WikidataQ115601670 ScholiaQ115601670MaRDI QIDQ2354206
G. P. Samanta, Swarnali Sharma
Publication date: 10 July 2015
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12190-014-0779-0
Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25)
Related Items
The joint effects of diffusion and delay on the stability of a ratio-dependent predator-prey model, Unnamed Item, Bifurcation analysis and chaos control in a discrete epidemic system, An Eco-Epidemic Predator–Prey Model with Allee Effect in Prey, A nonstandard numerical scheme for a predator-prey model with Allee effect, Long time dynamics of a three-species food chain model with Allee effect in the top predator, Global dynamics of a Beddington-DeAngelis amensalism system with weak Allee effect on the first species, A predator-prey model with genetic differentiation both in the predator and prey
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Stability analysis of delayed SIR epidemic models with a class of nonlinear incidence rates
- Global stability of delay multigroup epidemic models with group mixing and nonlinear incidence rates
- Effect of delay in a Lotka-Volterra type predator-prey model with a transmissible disease in the predator species
- A delayed predator-prey model with strong Allee effect in prey population growth
- Global stability of an epidemic model with latent stage and vaccination
- Allee effect in a discrete-time predator-prey system
- Stability and Hopf bifurcation analysis of an eco-epidemiological model with delay
- Stability and Hopf bifurcation analysis of an eco-epidemic model with a stage structure
- Predator-prey populations with parasitic infection
- Persistence in models of three interacting predator-prey populations
- Analysis of a predator-prey model with modified Leslie-Gower and Holling-type II schemes with stochastic perturbation
- Qualitative analysis of a predator-prey model with Holling type II functional response incorporating a prey refuge
- Stability analysis of a prey--predator model with Holling type III response function incorporating a prey refuge
- Effect of time-delay on a food chain model
- Stability and Hopf bifurcation for an epidemic disease model with delay
- A predator-prey model with disease in the predator species only
- On a Leslie-Gower predator-prey model incorporating a prey refuge
- Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
- Persistence in a model of three competitive populations
- Persistence and periodic orbits of a three-competitor model with refuges
- Theory of functional differential equations. 2nd ed
- Mathematical analysis of some three-species food-chain models
- Hopf bifurcation analysis for a predator-prey system of Holling and Leslie type
- Global stability of an age-structure model for TB and its applications to optimal vaccination strategies
- The influence of diseases on Lotka-Volterra systems
- Global qualitative analysis of a ratio-dependent predator-prey system
- Bioeconomic modelling of a three-species fishery with switching effect.
- A Lyapunov function for Leslie-Gower predator-prey models
- Global dynamics of a ratio-dependent predator-prey system
- Predator-prey model with Holling response function of type II and SIS infectious disease
- Dynamical models of tuberculosis and their applications
- A Lyapunov function and global properties for \(SIR\) and \(SEIR\) epidemiological models with nonlinear incidence
- Hopf bifurcation and stability of periodic solutions for van der Pol equation with time delay
- A ratio-dependent predator-prey model with disease in the prey
- Dynamical behavior of an epidemic model with a nonlinear incidence rate
- Remarks on food chain dynamics
- Analysis of an ecoepidemiological model with prey refuges
- Estimation of effective vaccination rate: pertussis in New Zealand as a case study
- Dynamical behaviour of an HIV/AIDS epidemic model
- Stability and Hopf bifurcation analysis on a delayed Leslie-Gower predator-prey system incorporating a prey refuge
- Global analysis of an epidemic model with nonmonotone incidence rate
- Hopf bifurcation and stability of periodic solutions in a delayed eco-epidemiological system
- Dynamical complexity induced by Allee effect in a predator-prey model
- Dynamical behaviour of a two prey and one predator system
- The stability of predator\,-\,prey systems subject to the Allee effects
- The Mathematics of Infectious Diseases
- Usefulness of Biocontrol of Pests in Tea: A Mathematical Model
- ANALYSIS OF A DELAY PREY-PREDATOR MODEL WITH DISEASE IN THE PREY SPECIES ONLY
- When a predator avoids infected prey: a model-based theoretical study
- Rich dynamical behaviours for predator–prey model with weak Allee effect
- Predator-prey model with disease infection in both populations
- An ecoepidemiological predator-prey model with standard disease incidence
- Uniformly Persistent Systems
- On the general structure of epidemic systems. Global asymptotic stability
- Elements of Mathematical Ecology
- Non-linear incidence and stability of infectious disease models
- Analysis of a three species eco-epidemiological model
- Modeling and analysis of a predator-prey model with disease in the prey
