Predator-prey Interactions with Delays Due to Juvenile Maturation

DOI10.1137/05063135zbMath1090.92047OpenAlexW2171996994WikidataQ115525697 ScholiaQ115525697MaRDI QIDQ5470301

Richard H. Elderkin, Kenneth L. Cooke, Wenzhang Huang

Publication date: 30 May 2006

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/05063135

zbMATH Keywords

bifurcationpredator-preydelay differential equationsmaturation delayage structurehost-parasite

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability theory of functional-differential equations (34K20) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18)

Related Items (11)

Dynamics of a general prey-predator model with prey-stage structure and diffusive effects ⋮ Global Hopf bifurcation and dynamics of a stage-structured model with delays for tick population ⋮ Dynamics of a Stage-Structured-Prey and Predator Model with Linear Harvesting of Mature Prey and Predator ⋮ Modeling the fear effect in predator-prey interactions with adaptive avoidance of predators ⋮ Stability and Hopf bifurcation for a prey-predator model with prey-stage structure and diffu\-sion ⋮ Bifurcations of a diffusive predator–prey model with prey‐stage structure and prey‐taxis ⋮ Stability analysis of a population model with maturation delay and Ricker birth function ⋮ Dynamical Behaviors of a Delayed Prey–Predator Model with Beddington–DeAngelis Functional Response: Stability and Periodicity ⋮ Age-structured predator–prey model with habitat complexity: oscillations and control ⋮ Chaotic dynamics in a simple predator-prey model with discrete delay ⋮ A new stage structure predator-prey model with diffusion

Uses Software

• DDE-BIFTOOL

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