Existence of positive almost periodic solutions to the hematopoiesis model

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• 作者：Toka Diagana^a ; ^{tdiagana@howard.edu" class="auth_mail" title="E-mail the corresponding author} ; Hui Zhou ; ^b ; ^{zhouhui0309@126.com" class="auth_mail" title="E-mail the corresponding author} ; ^{huizhouahu@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Hematopoiesis model ; Almost periodic ; Fixed-point theorem in a cone
• 刊名：Applied Mathematics and Computation
• 出版年：2016
• 出版时间：1 February 2016
• 年：2016
• 卷：274
• 期：Complete
• 页码：644-648
• 全文大小：252 K

文摘

In this paper we study and obtain the existence of a positive almost periodic solution to the nonlinear differential equation with delays that describes the so-called hematopoiesis model. The main tool utilized to establish our existence result consists of the fixed-point theorem in a cone. Two examples are given at the end of the paper to illustrate our main result.