Modeling the impact of plant toxicity on plant-herbivore dynamics

DOI10.1007/s10884-006-9029-yzbMath1113.34035OpenAlexW2113627523WikidataQ60558464 ScholiaQ60558464MaRDI QIDQ854722

Ya Li, Nancy Huntly, Zhilan Feng, John P. Bryant, Robert K. Swihart

Publication date: 6 December 2006

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-006-9029-y

zbMATH Keywords

bifurcationfunctional responsemathematical model

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items

Dynamics of a plant-herbivore model with a chemically-mediated numerical response ⋮ Dynamics in a diffusive plant-herbivore model with toxin-determined functional response ⋮ Dynamics in a stochastic diffusive plant-herbivore system ⋮ Plant-herbivore interactions mediated by plant toxicity ⋮ Exploring dynamics of plant-herbivore interactions: bifurcation analysis and chaos control with Holling type-II functional response ⋮ Dynamics of a plant-herbivore-predator system with plant-toxicity ⋮ Modeling the dynamics of woody plant-herbivore interactions with age-dependent toxicity ⋮ Bifurcation analysis of a plant-herbivore model with toxin-determined functional response ⋮ Toxicity impact on a plant-herbivore model with disease in herbivores ⋮ Bifurcation analysis and chaos control for a plant–herbivore model with weak predator functional response ⋮ Study of the interactive effect of prey toxin and optimal foraging strategy on a predator–prey model ⋮ Hopf bifurcation in a grazing system with two delays ⋮ Existence of limit cycles and homoclinic bifurcation in a plant-herbivore model with toxin-determined functional response ⋮ A predator-prey model characterizing negative effect of prey on its predator ⋮ Existence of a polycycle in non-Lipschitz Gause-type predator-prey models ⋮ Qualitative properties and bifurcations of a leaf-eating herbivores model ⋮ Period-doubling and Neimark-Sacker bifurcations of plant-herbivore models

Uses Software

• AUTO

Cites Work

• The functional responses of adaptive consumers of two resources
• Unnamed Item