The study of chaotic dynamics of an eco-epidemiological predator-prey model with alternative food

P. Roy, Abhishek Sarkar, Kulbhushan Agnihotri, K. Das
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Abstract

Parasites can alter the quality and quantity of participants. On the other hand, the spread of diseases between individuals or species is an important research topic. Here we consider a tritrophic food model in which bacteria spread among the animal's environment where other nutrients are present. We analyze the local stability of the model around the efficiency of the equation. We also report significant numbers of offspring in terms of ecology and disease and use these numbers to analyze community structure of the sample. We started from this situation as a model. Our numerical results show that at low infection level the body causes conflict, but at high infection level conflict prioritizes safety. Our findings therefore challenge previous models’ predictions that the parasite has a negative impact. We also looked at the impact of other foods on chaotic dynamics. When other nutrients increase, stress does not change, but when other nutrients decrease, chaos disappears and the disease among animals is eliminated from the body.
具有替代食物的生态流行病学捕食者-猎物模型的混沌动力学研究
寄生虫会改变参与者的质量和数量。另一方面,疾病在个体或物种之间的传播也是一个重要的研究课题。在此,我们考虑了一种三营养食物模型,在该模型中,细菌在动物所处的环境中传播,而动物所处的环境中还存在其他营养物质。我们围绕方程的效率分析了模型的局部稳定性。我们还报告了生态学和疾病方面的重要后代数量,并利用这些数量来分析样本的群落结构。我们以这种情况为模型出发点。我们的数值结果表明,在低感染水平时,身体会导致冲突,但在高感染水平时,冲突会优先考虑安全。因此,我们的研究结果对之前模型关于寄生虫会产生负面影响的预测提出了质疑。我们还研究了其他食物对混沌动力学的影响。当其他营养物质增加时,压力不会改变,但当其他营养物质减少时,混乱就会消失,动物之间的疾病也会从体内消除。
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