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

Yüzbaşı Ş., Sezer M.

Neural Computing and Applications, vol.27, no.3, pp.769-779, 2016 (SCI-Expanded, Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 27 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.1007/s00521-015-1895-y
  • Journal Name: Neural Computing and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.769-779
  • Keywords: Biological species, Collocation method, Collocation points, Exponential approach, Matrix method, Nonlinear integro-differential equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

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.