Dynamic Analysis of a Population Competition Model with Disease in One Species and Group Defense in Another Species

DOI10.1142/S0218127420501813zbMath1448.92183OpenAlexW3091901872MaRDI QIDQ4971072

Xue Cheng, Yi Zhao, Jianfeng Luo

Publication date: 8 October 2020

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127420501813

zbMATH Keywords

saddle-node bifurcationHopf bifurcationtranscritical bifurcationherd behavior

Mathematics Subject Classification ID

Epidemiology (92D30) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Ecology (92D40) Bifurcations in context of PDEs (35B32)

Related Items (4)

Extinction and stationary distribution of stochastic predator-prey model with group defense behavior ⋮ Stability and bifurcations analysis in an ecoepidemic system with prey group defense and two infectious routes ⋮ Simulation-Based Study of Biological Systems with Threshold Policy by a Differential Linear Complementarity System ⋮ Bifurcation analysis of a non-smooth prey-predator model by a differential linear complementarity system

Cites Work

• Modeling herd behavior in population systems
• Predator-prey populations with parasitic infection
• Predator-prey systems with group defence: The paradox of enrichment revisited
• Effects of spatial grouping on the functional response of predators
• Criterion of Hopf bifurcations without using eigenvalues
• Modeling the role of viral disease in recurrent phytoplankton blooms
• A simple SIS epidemic model with a backward bifurcation
• Patchy agglomeration as a transition from monospecies to recurrent plankton blooms
• Predator-prey dynamics with square root functional responses
• A MINIMAL MODEL FOR ECOEPIDEMICS WITH GROUP DEFENSE
• The properties of a stochastic model for the predator-prey type of interaction between two species
• Stability and Bifurcation Analysis in a Predator–Prey System with Constant Harvesting and Prey Group Defense
• Stochastic analysis of a prey–predator model with herd behaviour of prey
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