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

YÜZBAŞI Ş., SEZER M.

NEURAL COMPUTING & APPLICATIONS, cilt.27, sa.3, ss.769-779, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 27 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s00521-015-1895-y
  • Dergi Adı: NEURAL COMPUTING & APPLICATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.769-779
  • Anahtar Kelimeler: Biological species, Exponential approach, Nonlinear integro-differential equations, Matrix method, Collocation points, Collocation method, CONTINUOUS POPULATION-MODELS, VARIATIONAL ITERATION METHOD, DECOMPOSITION METHOD, DIFFERENTIAL-EQUATIONS, NUMERICAL APPROACH, POLYNOMIALS, SINGLE, SOLVE, ORDER
  • Akdeniz Üniversitesi Adresli: Evet

Özet

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.