Dynamics of a second‑order nonlinear diference system with exponents
Dilip, D., Mathew, S. (2021). Dynamics of a second‑order nonlinear diference system with exponents. EKB Journal Management System, 29(1), 1-10. doi: 10.1186/s42787-021-00119-6
D. S. Dilip; Smitha Mary Mathew. "Dynamics of a second‑order nonlinear diference system with exponents". EKB Journal Management System, 29, 1, 2021, 1-10. doi: 10.1186/s42787-021-00119-6
Dilip, D., Mathew, S. (2021). 'Dynamics of a second‑order nonlinear diference system with exponents', EKB Journal Management System, 29(1), pp. 1-10. doi: 10.1186/s42787-021-00119-6
Dilip, D., Mathew, S. Dynamics of a second‑order nonlinear diference system with exponents. EKB Journal Management System, 2021; 29(1): 1-10. doi: 10.1186/s42787-021-00119-6

Dynamics of a second‑order nonlinear diference system with exponents

Journal of the Egyptian Mathematical Society
Volume 29, Issue 1, 2021, Pages 1-10    PDF (1.91 M)
Document Type: Original Article
DOI: 10.1186/s42787-021-00119-6
Authors
D. S. Dilip* 1, 2; Smitha Mary Mathew1, 2
1Department of Mathematics, St. John’s College, Anchal, Kerala, India.
2Department of Mathematics, Mar Ivanios College, Research Centre, University of Kerala, Thiruvananthapuram, India.
Abstract
In this paper, we study the persistence, boundedness, convergence, invariance and
global asymptotic behavior of the positive solutions of the second-order diference
system
xn+1 = α1 + ae−xn−1 + byne−yn−1 ,
yn+1 = α2 + ce−yn−1 + dxne−xn−1 n = 0, 1, 2, ... where α1, α2, a, b, c, d are
positive real numbers and the initial conditions x−1, x0, y−1, y0 are arbitrary nonnegative
numbers.
Keywords
Local behavior; Global behavior; Invariance; Persistence; Boundedness
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