Separated solutions of logistic equation with nonperiodic harvesting

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• 作者：Shair Ahmad^a ; ^{shair.ahmad@utsa.edu" class="auth_mail" title="E-mail the corresponding author} ; Alan C. Lazer^b
• 关键词：Logistic ; Separated solutions ; Blow up ; Non-periodic ; Species ; Harvesting
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：445
• 期：1
• 页码：710-718
• 全文大小：307 K

文摘

In this paper, we study Logistic equations with non-periodic harvesting. We introduce the notion of separated solutions and then show the existence of upper and lower solutions that are separated. We further show that the lower solution is unique and all solutions that start above the lower solution tend to each other, while solutions that start below the lower solution blow up in finite time.