The impact of harvesting on the evolutionary dynamics of prey species in a prey-predator systems.

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Richik Bandyopadhyay, Joydev Chattopadhyay
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引用次数: 0

Abstract

Matsuda and Abrams (Theor Popul Biol 45(1):76-91, 1994) initiated the exploration of self-extinction in species through evolution, focusing on the advantageous position of mutants near the extinction boundary in a prey-predator system with evolving foraging traits. Previous models lacked theoretical investigation into the long-term effects of harvesting. In our model, we introduce constant-effort prey and predator harvesting, along with individual logistic growth of predators. The model reveals two distinct evolutionary outcomes: (i) Evolutionary suicide, marked by a saddle-node bifurcation, where prey extinction results from the invasion of a lower forager mutant; and (ii) Evolutionary reversal, characterized by a subcritical Hopf bifurcation, leading to cyclic prey evolution. Employing an innovative approach based on Gröbner basis computation, we identify various bifurcation manifolds, including fold, transcritical, cusp, Hopf, and Bogdanov-Takens bifurcations. These contrasting scenarios emerge from variations in harvesting parameters while keeping other factors constant, rendering the model an intriguing subject of study.

Abstract Image

捕猎对猎物-食肉动物系统中猎物物种进化动态的影响。
Matsuda 和 Abrams(Theor Popul Biol 45(1):76-91,1994 年)通过进化开始了对物种自我灭绝的探索,其重点是在具有进化觅食特征的猎物-捕食者系统中,突变体在灭绝边界附近的有利位置。以前的模型缺乏对捕食长期影响的理论研究。在我们的模型中,我们引入了恒定努力的猎物和捕食者捕食,以及捕食者的个体逻辑增长。该模型揭示了两种截然不同的进化结果:(i) 以鞍节点分岔为标志的自杀式进化,即低觅食率突变体的入侵导致猎物灭绝;以及 (ii) 以次临界霍普夫分岔为特征的逆转进化,导致猎物循环进化。我们采用了一种基于格劳宾纳基础计算的创新方法,确定了各种分岔流形,包括折叠、跨临界、尖顶、霍普夫和波格丹诺夫-塔肯斯分岔。在其他因素保持不变的情况下,收割参数的变化会产生这些截然不同的情况,从而使该模型成为一个引人入胜的研究课题。
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
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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