A mathematical study of a predator-prey dynamics with disease in predator

DOI10.5402/2011/807486zbMath1244.34073OpenAlexW2038536083WikidataQ58689736 ScholiaQ58689736MaRDI QIDQ420260

Krishna pada Das

Publication date: 21 May 2012

Published in: ISRN Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2011/807486

zbMATH Keywords

stability analysis

Mathematics Subject Classification ID

Epidemiology (92D30) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) 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)

Related Items (3)

Proper predation and disease transmission in predator population stabilize predator-prey oscillations ⋮ A study of a diseased prey-predator model with refuge in prey and harvesting from predator ⋮ Regular and chaotic variability caused by random disturbances in a predator-prey system with disease in predator

Cites Work

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• Predator-prey populations with parasitic infection
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• A mathematical model of facultative mutualism with populations interacting in a food chain
• A model of predator-prey dynamics as modified by the action of a parasite
• Permanent coexistence in general models of three interacting species
• The influence of diseases on Lotka-Volterra systems
• Modeling the role of viral disease in recurrent phytoplankton blooms
• Four predator prey models with infectious diseases
• Predator-prey model with disease infection in both populations
• Uniformly Persistent Systems
• A predator-prey model with disease in the prey
• A predator–prey model with disease in the prey species only
• An ecoepidemiological model with disease in predator: the ratio‐dependent case
• Modeling and analysis of a predator-prey model with disease in the prey

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