We investigate the global asymptotic behavior of solutions of the system of di erence equations xn+1 = xn a + cyn ; yn+1 = yn b + dxn ; n= 0; 1; : : : ; where the parameters a and b are in (0; 1), c and d are arbitrary positive numbers and the initial conditions x0 and y0 are arbitrary nonnegative
✦ LIBER ✦
Global behavior of a two-dimensional competitive system of difference equations with stocking
✍ Scribed by M.R.S. Kulenović; M. Nurkanović
- Book ID
- 113796701
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 277 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0895-7177
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In this paper we study the oscillatory behavior, the boundedness of the solutions, and the global asymptotic stability of the positive equilibrium of the system of two nonlinear difference equations x s A q y rx , y s A q x ry , n s nq 1 n nyp n q1 n nyq 0, 1, . . . , p, q are positive integers.