Study of the interactive effect of prey toxin and optimal foraging strategy on a predator–prey model

DOI10.1142/S179352451850050XzbMath1390.37145OpenAlexW2790389865WikidataQ115522746 ScholiaQ115522746MaRDI QIDQ4641698

Ya Li

Publication date: 18 May 2018

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179352451850050x

zbMATH Keywords

stabilitybifurcationpredator-prey modeloptimal foragingtoxicity

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• The chaos and control of a food chain model supplying additional food to top-predator
• Diseased prey predator model with general Holling type interactions
• Optimal foraging and predator-prey dynamics. III
• Modeling the impact of plant toxicity on plant-herbivore dynamics
• Optimal foraging, the marginal value theorem
• Optimal foraging and predator-prey dynamics. II
• Evolutionary stability of optimal foraging: partial preferences in the diet and patch models
• Optimal foraging and predator-prey dynamics
• Model of microtine cycles caused by lethal toxins in non-preferred food plants
• Biological control through provision of additional food to predators: A theoretical study
• Behavioral refuges and predator-prey coexistence

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