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Reactivity in prey–predator models at equilibrium under selective harvesting efforts
The European Physical Journal Plus ( IF 3.4 ) Pub Date : 2021-05-10 , DOI: 10.1140/epjp/s13360-021-01525-6
Prosenjit Paul , T. K. Kar , Esita Das

Reactivity is an important feature of every stable state to measure the short-term instability of such stable state in prey–predator models. Asymptotic stability is not a powerful tool to study the dynamics immediately after an equilibrium has disturbed. We are interested in studying the effect of disturbance made by harvesting effort to the stable state of a set of prey–predator models. We consider different scenarios of disturbance made by prey harvesting only, predator harvesting only and selective harvesting on both. We show that disturbance made by prey harvesting causes reactivity of stable state but not in a sustainable way (non-existence of maximum sustainable yield). Further, it is shown that disturbance made by predator harvesting causes reactivity of stable state but in a sustainable way. We study how disturbance made by different harvesting strategies to the asymptotically stable state in the prey–predator system where intraspecific competition rule applied to predator species affects transient dynamics. We find that the transient dynamics properties like reactivity and non-reactivity switch through disturbance made by harvesting but in a sustainable way (maximum sustainable yield exists). Further, we find that asymptotically stable state remains reactive following multiple disturbances made by selective harvesting on both but in a sustainable way (maximum sustainable total yield exists)



中文翻译:

选择性收获下处于平衡状态下的捕食者-捕食者模型的反应性

反应性是每个稳定状态的重要特征,用于测量捕食者-捕食者模型中这种稳定状态的短期不稳定性。渐近稳定性不是平衡被破坏后立即研究动力学的有力工具。我们感兴趣的是研究收获工作对一组捕食者-捕食者模型的稳定状态造成的干扰的影响。我们考虑仅捕食者捕食,仅捕食者捕食和两者选择性捕食所造成的不同干扰情况。我们表明,捕食者造成的干扰会导致稳定状态的反应性,但不会以可持续的方式(不存在最大的可持续产量)。此外,表明捕食者捕食引起的干扰导致稳定状态的反应性,但是以可持续的方式。我们研究了在捕食者-种间竞争规则适用于捕食者物种的情况下,不同收获策略对捕食者-捕食者系统的渐近稳定状态的扰动如何影响。我们发现,瞬态动力学特性(如反应性和非反应性)会通过收割造成的干扰而以可持续的方式切换(存在最大的可持续产量)。此外,我们发现渐进稳定状态在选择性收获对二者的多重干扰后仍保持反应性,但以可持续的方式存在(存在最大的可持续总产量)我们发现,瞬态动力学特性(如反应性和非反应性)会通过收割造成的干扰而以可持续的方式切换(存在最大的可持续产量)。此外,我们发现渐进稳定状态在选择性收获对二者的多重干扰后仍保持反应性,但以可持续的方式存在(存在最大的可持续总产量)我们发现,瞬态动力学特性(如反应性和非反应性)会通过收割造成的干扰而以可持续的方式切换(存在最大的可持续产量)。此外,我们发现渐进稳定状态在选择性收获对二者的多重干扰后仍保持反应性,但以可持续的方式存在(存在最大的可持续总产量)

更新日期:2021-05-10
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