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Environmental persistence influences infection dynamics for a butterfly pathogen via new generalised Caputo type fractional derivative
Chaos, Solitons & Fractals ( IF 5.3 ) Pub Date : 2021-01-21 , DOI: 10.1016/j.chaos.2021.110672
Pushpendra Kumar , Vedat Suat Erturk

In this article, we studied the outcomes of environmental transmission for infection dynamics of a debilitating protozoan parasite (Ophryocystis elektroscirrha) that infects monarch butterflies (Danaus plexippus) via new generalised Caputo type fractional derivatives. We solved a non-linear fractional model by using modified version of well known Predictor-Corrector scheme. Existence and uniqueness analysis of the given problem are exemplified by the help of important results. We gave all necessary and sufficient graphical analysis to show the nature of the given ecological model at various non-integer order values. The proposed fractional dynamical model better explores environmental persistence for this host-pathogen system. We explored the graphical simulations at different shedding rate of infectious doses onto leaves and different decay rate of infectious doses on milkweed leaves. The novelty of this work is to better explore the dynamics of the model and role of the given parameters at different numerical values. Also this model is yet not solved via any fractional derivatives which can be confirmed from literature. So this fresh non-integer order model makes this study more visible to the literature. By the help of our simulations we show the beauty of fractional derivatives in the ecology. The present study is effective and interesting in the view of applications of fractional derivatives in ecological studies.



中文翻译:

环境持久性通过新型广义Caputo型分数导数影响蝴蝶病原体的感染动力学

在本文中,我们研究了环境传播对衰弱的原生动物寄生虫(Ophryocystis elektroscirrha)感染动力学的影响,该寄生虫通过新的广义Caputo型分数衍生物感染帝王蝶(Danaus plexippus)。通过使用众所周知的Predictor-Corrector方案的修改版,我们解决了非线性分数模型。通过重要结果可以举例说明给定问题的存在性和唯一性分析。我们给出了所有必要和充分的图形分析,以显示给定生态模型在各种非整数阶值下的性质。提出的分数动力学模型更好地探索了该宿主-病原体系统的环境持久性。我们探索了在叶片上感染剂量的不同脱落速率和马利筋叶片上感染剂量的不同衰减速率下的图形模拟。这项工作的新颖性是为了更好地探索模型的动力学特性以及给定参数在不同数值下的作用。而且,该模型还不能通过可以从文献中证实的任何分数导数来求解。因此,这种新颖的非整数阶模型使这项研究对文献更为可见。通过我们的模拟,我们展示了生态学中分数导数的美。考虑到分数导数在生态学研究中的应用,本研究是有效和有趣的。这项工作的新颖性是为了更好地探索模型的动力学特性以及给定参数在不同数值下的作用。而且,该模型还不能通过可以从文献中证实的任何分数导数来求解。因此,这种新颖的非整数阶模型使这项研究对文献更为可见。通过我们的模拟,我们展示了生态学中分数导数的美。考虑到分数导数在生态学研究中的应用,本研究是有效和有趣的。这项工作的新颖性是为了更好地探索模型的动力学特性以及给定参数在不同数值下的作用。而且,该模型还不能通过可以从文献中证实的任何分数导数来求解。因此,这种新颖的非整数阶模型使这项研究对文献更为可见。通过我们的模拟,我们展示了生态学中分数导数的美。考虑到分数导数在生态学研究中的应用,本研究是有效和有趣的。

更新日期:2021-01-22
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