Global Stability of an Economic Model
Küçük Resim Yok
Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Util Math Publ Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we investigate the global stability of the following economic system of difference equations { x(n+1) = (1 - alpha)x(n) + beta x(n)(1 - x(n))e(-(xn+yn)) y(n+1) = (1 - alpha)y(n) + beta y(n)(1 - y(n))e(-(xn+yn)) , n = 0, 1, ... , (I) where alpha, and beta is an element of (0, infinity) with the initial conditions x(0) and y(0) is an element of (0,infinity). First we study the global behavior of the following general system of difference equations X-n((1)) = phi(1)(x(n-s1)((1))(1), x(n-s1)((2)(2))), X-n((2)) = phi(2)(x(n-s2)((2))(2), x(n-s1)((3)(3))), X-n((3)) = phi(3)(x(n-s2)((3))(3), x(n-s1)((4)(4))), X-n((k)) = phi(k)(x(n-s2)((k))(k), x(n-s2)((1)(1))). for n is an element of N-o where s(1)((i)), S-2((i)) is an element of N-o for i = 1,2, ... , k, with positive initial conditions. Second we apply the obtained results to investigate the global stability of System (I).
Açıklama
Anahtar Kelimeler
Global Stability, Economic Models, Difference Equations, Systems
Kaynak
Utilitas Mathematica
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
95
