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Exploring the dynamics of a Holling-Tanner model with cannibalism in both predator and prey population 被引量:3
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作者 Aladeen Al Basheer Rana D. Parshad +2 位作者 Emmanuel Quansah Shengbin Yu Ranjit Kumar Upadhyay 《International Journal of Biomathematics》 SCIE 2018年第1期225-253,共29页
Cannibalism is an intriguing life history trait, that has been considered primarily in the predator, in predator-prey population models. Recent experimental evidence shows that prey cannibalism can have a significant ... Cannibalism is an intriguing life history trait, that has been considered primarily in the predator, in predator-prey population models. Recent experimental evidence shows that prey cannibalism can have a significant impact on predator-prey population dyna- mics in natural communities. Motivated by these experimental results, we investigate a ratio-dependent Holling-Tanner model, where cannibalism occurs simultaneously in both the predator and prey species. We show that depending on parameters, whilst prey or predator cannibalism acting alone leads to instability, their joint effect can actually stabilize the unstable interior equilibrium. Furthermore, in the spatially explicit model, we find that depending on parameters, prey and predator cannibalism acting jointly can cause spatial patterns to form, while not so acting individually. We discuss ecologicalconsequences of these findings in light of food chain dynamics, invasive species control and climate change. 展开更多
关键词 Holling-Tanner model prey cannibalism predator cannibalism stability global attraction Turing instability.
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