A predator–prey model with Crowley–Martin functional response: A nonautonomous study
A predator–prey model with Crowley–Martin functional response: A nonautonomous study
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DOI：
10.1111/nrm.12287
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发表时间：
2020-10
影响因子：
1.6
通讯作者：
Jai Prakash Tripathi;Sarita Bugalia;Vandana Tiwari;Yun Kang
中科院分区：
文献类型：
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作者：
Jai Prakash Tripathi;Sarita Bugalia;Vandana Tiwari;Yun Kang
研究了一类具有Crowley-Martin功能性反应的非自治捕食-食饵模型系统。通过严格的数学分析，得到了（a）全局吸引性和持久性的积分形式的条件，改进了传统的利用参数界得到的条件;（B）周期解的存在性，利用重合度理论中的延拓定理得到了比Brouwer不动点定理更强的结果.我们的结果还表明，周期解的全局吸引性受到捕食者的密度依赖死亡率的积极影响。我们采用部分秩相关系数法，专注于模型系统分析的输出是如何影响的变化，在一个特定的参数，忽略了其余参数的不确定性。我们讨论自治和非自治系统的结果（持久性和全局吸引性）之间的关系，以了解时间依赖参数的影响。
We investigate a nonautonomous predator–prey model system with a Crowley–Martin functional response. We perform rigorous mathematical analysis and obtain conditions for (a) global attractivity and permanence in the form of integrals which improve the traditional conditions obtained by using bounds of involved parameters; and (b) the existence of periodic solutions applying continuation theorem from coincidence degree theory which has stronger results than using Brouwer fixed point theorem. Our result also indicates that the global attractivity of periodic solution is positively affected by the predator's density dependent death rate. We employ partial rank correlation coefficient method to focus on how the output of the model system analysis is influenced by variations in a particular parameter disregarding the uncertainty over the remaining parameters. We discuss the relations between results (permanence and global attractivity) for autonomous and nonautonomous systems to get insights on the effects of time‐dependent parameters.