An exponential approach for the system of nonlinear delay integro-differential equations describing biological species living together

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• 作者：Şuayip Yüzbaşı ; Mehmet Sezer
• 关键词：Biological species ; Exponential approach ; Nonlinear integro ; differential equations ; Matrix method ; Collocation points ; Collocation method
• 刊名：Neural Computing & Applications
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：27
• 期：3
• 页码：769-779
• 全文大小：1,620 KB
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• 作者单位：Şuayip Yüzbaşı (1)
  Mehmet Sezer (2)
  
  1. Department of Mathematics, Faculty of Science, Akdeniz University, TR-07058, Antalya, Turkey
  2. Department of Mathematics, Faculty of Science, Celal Bayar University, TR-45000, Manisa, Turkey
  
• 刊物类别：Computer Science
• 刊物主题：Simulation and Modeling
  
• 出版者：Springer London
• ISSN：1433-3058

文摘

In this paper, we consider a system of nonlinear delay integro-differential equations with convolution kernels, which arises in biology. This problem characterizes the population dynamics for two separate species. We present an exponential approach based on exponential polynomials for solving this system. This technique reduces the model problem to a matrix equation, which corresponds to a system of nonlinear algebraic equations. Also, illustrative examples related to biological species living together are given to demonstrate the validity and applicability of technique. The comparisons are made with the existing results.