A study of chaotic dynamics and its possible control in a predator-prey model with disease in the predator

DOI10.1007/s10883-015-9283-6zbMath1358.37122OpenAlexW1063798334WikidataQ115603996 ScholiaQ115603996MaRDI QIDQ745889

Krishna pada Das

Publication date: 15 October 2015

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10883-015-9283-6

zbMATH Keywords

stablechaosHopf bifurcationreproduction numberhalf-saturation constantdisease in predator population

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Chaos control for problems involving ordinary differential equations (34H10)

Related Items (6)

Proper predation and disease transmission in predator population stabilize predator-prey oscillations ⋮ Modeling the effects of cross-protection control in plant disease with seasonality ⋮ EFFECT OF FEAR ON A MODIFIED LESLI-GOWER PREDATOR-PREY ECO-EPIDEMIOLOGICAL MODEL WITH DISEASE IN PREDATOR ⋮ Competitive and exclusion and oscillation phenomena of an eco-epidemiological model: An invasive approach ⋮ Chaotic dynamics in a class of delay controlled partial difference equations ⋮ Stability and Hopf Bifurcation of a Delayed Prey–Predator Model with Disease in the Predator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• The role of transmissible diseases in the Holling-Tanner predator-prey model
• Oscillations and chaos in epidemics: A nonlinear dynamic study of six childhood diseases in Copenhagen, Denmark
• Dynamic models of infectious diseases as regulators of population sizes
• A generalization of the Kermack-McKendrick deterministic epidemic model
• The influence of diseases on Lotka-Volterra systems
• Mathematical problems of nonlinear dynamics: A tutorial
• Chaos in eco-epidemiological problem of the Salton Sea and its possible control
• Evidence of chaos in eco-epidemic models
• OCCURRENCE OF CHAOS AND ITS POSSIBLE CONTROL IN A PREDATOR-PREY MODEL WITH DENSITY DEPENDENT DISEASE-INDUCED MORTALITY ON PREDATOR POPULATION
• PROPER PREDATION MAKES THE SYSTEM DISEASE FREE — CONCLUSION DRAWN FROM AN ECO-EPIDEMIOLOGICAL MODEL
• Role of horizontal incidence in the occurrence and control of chaos in an eco-epidemiological system
• A predator-prey model with disease in the prey
• Modeling and Analysis of the Spread of Carrier Dependent Infectious Diseases with Environmental Effects
• Infection in prey population may act as a biological control in ratio-dependent predator–prey models
• A predator–prey model with disease in the prey species only
• Simple mathematical models with very complicated dynamics
• An ecoepidemiological model with disease in predator: the ratio‐dependent case
• Measles as a case study in nonlinear forecasting and chaos
• Modeling and analysis of a predator-prey model with disease in the prey

This page was built for publication: A study of chaotic dynamics and its possible control in a predator-prey model with disease in the predator