具有脉冲效应的离散比率依赖捕食者-猎物模型的正周期解

IF 0.6 4区 数学 Q3 MATHEMATICS Revista De La Union Matematica Argentina Pub Date : 2022-05-07 DOI:10.33044/revuma.2058
C. Duque, J. L. Herrera Diestra
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引用次数: 0

摘要

关于捕食系统动力学的研究在文献中有很多。为了解释更现实的模型,先前的研究选择了使用具有比率依赖功能反应的离散捕食-被捕食系统。在目前的研究中,我们更进一步,将脉冲效应纳入动力学中。更具体地说,通过假设系统中涉及的系数和脉冲是周期性的,我们获得了周期解存在的有效条件。我们给出了一些数值例子来说明我们的结果的有效性。
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Positive periodic solutions of a discrete ratio-dependent predator-prey model with impulsive effects
. Studies of the dynamics of predator-prey systems are abundant in the literature. In an attempt to account for more realistic models, previous studies have opted for the use of discrete predator-prey systems with ratio-dependent functional response. In the present research we go a step further with the inclusion of impulsive effects in the dynamics. More concretely, by assuming that the coefficients involved in the system and the impulses are peri- odic, we obtain sufficient conditions for the existence of periodic solutions. We present some numerical examples to illustrate the effectiveness of our results.
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来源期刊
Revista De La Union Matematica Argentina
Revista De La Union Matematica Argentina MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
0.70
自引率
0.00%
发文量
39
审稿时长
>12 weeks
期刊介绍: Revista de la Unión Matemática Argentina is an open access journal, free of charge for both authors and readers. We publish original research articles in all areas of pure and applied mathematics.
期刊最新文献
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