Global attractivity in the recursive sequence x(n+1)=(alpha-beta x)(n)/(gamma-x(n)-1)

作者：Yan XX; Li WT^*

来源：Applied Mathematics and Computation, 2003, 138(2-3): 415-423.

DOI：10.1016/S0096-3003(02)00145-5

• difference equation
• global asymptotic stability
• attractivity
• stability

Our aim in this paper is to investigate the global attractivity of the recursive sequence
x(n+1) = alpha - betax(n)/gamma - x(n-1), n = 0, 1,...,
where oc >, 0, y > 0. We show that one positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.

• 出版日期2003-6-20
• 单位兰州大学