Dynamic Behavior of a Predator-prey Model under the Influence of Toxin and Optimal Foraging Strategy
Authors
Yue Ma, Ya Li
Corresponding Author
Yue Ma
Available Online May 2017.
- DOI
- 10.2991/ammsa-17.2017.22How to use a DOI?
- Keywords
- component; predator-prey model, prey toxicity, optimal foraging, local stability
- Abstract
Prey toxicity and coexistence of multiple prey species are properties that exist wildly in predator-prey systems. Prey toxins might inhibit the food intake and maturity of predators. Optimal foraging theory predicts that predators prefer prey which can provide more energy and cost less energy to handling food. In this project, a three-dimensional model consisting of one predator and two prey species is constructed. This model incorporates explicitly the effects of both prey toxins and the optimal foraging theory. The dynamical behaviors of the model are analyzed and the results show that prey toxins and optimal foraging strategy play important roles in the stability of the system.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Yue Ma AU - Ya Li PY - 2017/05 DA - 2017/05 TI - Dynamic Behavior of a Predator-prey Model under the Influence of Toxin and Optimal Foraging Strategy BT - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017) PB - Atlantis Press SP - 102 EP - 106 SN - 1951-6851 UR - https://doi.org/10.2991/ammsa-17.2017.22 DO - 10.2991/ammsa-17.2017.22 ID - Ma2017/05 ER -