The traditional functional responses in predator-prey models do not explicitly include the effects of prey toxin. And optimal foraging theory mainly considers maximizing energy intake from prey, while prey toxicity is omitted from the strategy. However, a lot of evidence indicates that prey toxins set an upper limit on the predator's predation, therefore it should also be an important factor deciding predator's foraging preference. Our paper mainly studies a predator-prey model under the interaction of toxicity and optimal foraging strategy. The system contains one predator population and two prey species, while assuming that one prey species contains toxin. It is also assumed that there exists interspecies competition between two preys. Theoretical and numerical analysis both show that toxin-induced functional response and optimal foraging strategy have complex interactions on the dynamics of the system.
| Published in | Science Discovery (Volume 6, Issue 5) |
| DOI | 10.11648/j.sd.20180605.11 |
| Page(s) | 312-319 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2018. Published by Science Publishing Group |
Predator-Prey Model, Toxin, Optimal Foraging Strategy, Hopf Bifurcation
| [1] | 传统的捕食-食饵模型中，功能性反应没有明确地考虑食饵毒素的影响,捕食者的最优觅食理论也侧重于摄食能量的最大化，而忽略了食饵毒素对捕食策略的影响。然而，大量的证据表明食饵毒素对捕食者的捕食量设定了阈值，从而也是影响捕食者的捕食选择的重要因素。本文主要研究毒素及最佳捕食策略作用下的捕食-食饵模型，该模型由一种捕食者和两种食饵种群组成，假设其中一种食饵具有毒性，且两种食饵之间存在相互竞争关系。理论和数值分析都表明毒素诱导下的功能反应和最佳捕食策略对系统的动力学有复杂的交互作用。 |
APA Style
Shuyu Liu, Ya Li. (2018). A Predator-Prey Model Under the Influence of Toxin and Optimal Foraging Strategy. Science Discovery, 6(5), 312-319. https://doi.org/10.11648/j.sd.20180605.11
ACS Style
Shuyu Liu; Ya Li. A Predator-Prey Model Under the Influence of Toxin and Optimal Foraging Strategy. Sci. Discov. 2018, 6(5), 312-319. doi: 10.11648/j.sd.20180605.11
AMA Style
Shuyu Liu, Ya Li. A Predator-Prey Model Under the Influence of Toxin and Optimal Foraging Strategy. Sci Discov. 2018;6(5):312-319. doi: 10.11648/j.sd.20180605.11
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Download@article{10.11648/j.sd.20180605.11,
author = {Shuyu Liu and Ya Li},
title = {A Predator-Prey Model Under the Influence of Toxin and Optimal Foraging Strategy},
journal = {Science Discovery},
volume = {6},
number = {5},
pages = {312-319},
doi = {10.11648/j.sd.20180605.11},
url = {https://doi.org/10.11648/j.sd.20180605.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.sd.20180605.11},
abstract = {The traditional functional responses in predator-prey models do not explicitly include the effects of prey toxin. And optimal foraging theory mainly considers maximizing energy intake from prey, while prey toxicity is omitted from the strategy. However, a lot of evidence indicates that prey toxins set an upper limit on the predator's predation, therefore it should also be an important factor deciding predator's foraging preference. Our paper mainly studies a predator-prey model under the interaction of toxicity and optimal foraging strategy. The system contains one predator population and two prey species, while assuming that one prey species contains toxin. It is also assumed that there exists interspecies competition between two preys. Theoretical and numerical analysis both show that toxin-induced functional response and optimal foraging strategy have complex interactions on the dynamics of the system.},
year = {2018}
}
TY - JOUR T1 - A Predator-Prey Model Under the Influence of Toxin and Optimal Foraging Strategy AU - Shuyu Liu AU - Ya Li Y1 - 2018/09/18 PY - 2018 N1 - https://doi.org/10.11648/j.sd.20180605.11 DO - 10.11648/j.sd.20180605.11 T2 - Science Discovery JF - Science Discovery JO - Science Discovery SP - 312 EP - 319 PB - Science Publishing Group SN - 2331-0650 UR - https://doi.org/10.11648/j.sd.20180605.11 AB - The traditional functional responses in predator-prey models do not explicitly include the effects of prey toxin. And optimal foraging theory mainly considers maximizing energy intake from prey, while prey toxicity is omitted from the strategy. However, a lot of evidence indicates that prey toxins set an upper limit on the predator's predation, therefore it should also be an important factor deciding predator's foraging preference. Our paper mainly studies a predator-prey model under the interaction of toxicity and optimal foraging strategy. The system contains one predator population and two prey species, while assuming that one prey species contains toxin. It is also assumed that there exists interspecies competition between two preys. Theoretical and numerical analysis both show that toxin-induced functional response and optimal foraging strategy have complex interactions on the dynamics of the system. VL - 6 IS - 5 ER -
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