TWO-FOLD IMPACTS OF FEAR IN A SEASONALLY FORCED PREDATOR–PREY SYSTEM WITH COSNER FUNCTIONAL RESPONSE

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
Dipesh Barman, Subarna Roy, Pankaj Tiwari, S. Alam
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引用次数: 2

Abstract

In this paper, we investigate the dynamics of a predator–prey system of an ecological community in which the fear instigated by the predators has an adverse effect on the reproduction rate of prey species, and also on the competition among themselves due to the limited environmental resources. To capture and handle the realistic scenario in a more meaningful way, we have mathematically built up the model system with the assumption that the predators predate on the prey items following Cosner functional response, which increases with increments in the prey and predator populations. The model system has been studied through noteworthy mathematical analysis and an extensive numerical simulation. Our simulation results demonstrate that the predator–prey system stabilizes due to predator’s induced fear suppressing/enhancing the birth/death of prey species. The competition among the predators for the available prey items also has a stabilizing role on the system’s dynamics. In contrast, the increasing growth rate of prey species or predation rate creates instability in the system by changing the stable phase to the limit cycle oscillations. Moreover, the effects of seasonality are also studied by extending the model system to its nonautonomous counterpart. Sufficient conditions are derived so that the seasonally driven system exhibits at least one positive periodic solution. Our numerical results show that the seasonally forced system exhibits periodic solution (globally attractive periodic solution), higher periodic solutions, bursting patterns and the extinction of predator species due to the seasonal variations of some parameters.
季节性强迫捕食系统中恐惧的双重影响与cosner功能反应
本文研究了一个生态群落的捕食者-食饵系统的动力学,在这个系统中,由于环境资源有限,捕食者的恐惧会对被捕食物种的繁殖率产生不利影响,同时也会对它们之间的竞争产生不利影响。为了以一种更有意义的方式捕捉和处理现实场景,我们在数学上建立了模型系统,假设捕食者根据Cosner功能反应捕食猎物,该反应随着猎物和捕食者数量的增加而增加。通过重要的数学分析和广泛的数值模拟对模型系统进行了研究。模拟结果表明,捕食者引起的恐惧抑制/增强了被捕食物种的出生/死亡,从而使捕食者-猎物系统趋于稳定。捕食者之间对可用猎物的竞争也对系统的动态具有稳定作用。相反,猎物种类的增长速度或捕食率的增加通过将稳定相改变为极限环振荡而使系统不稳定。此外,还通过将模型系统扩展到其非自治对应物来研究季节性的影响。导出了季节驱动系统至少有一个正周期解的充分条件。数值结果表明,季节强迫系统表现出周期解(全局吸引周期解)、高周期解、爆发模式和由于某些参数的季节变化而导致的捕食者物种灭绝。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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