ON THE GLOBAL STABILITY CONJECTURE OF THE GENOTYPE SELECTION MODEL

doi:10.1016/S0252-9602(11)60252-X

摘要/Abstract

摘要：

In 1994, Grove, Kocic, Ladas, and Levin conjectured that the local stability and global stability conditions of the fixed point y =1/2 in the genotype selection model should be equivalent. In this article, we give an affirmative answer to this conjecture and prove that local stability implies global stability. Some illustrative examples are included to demonstrate the validity and applicability of the results.

关键词: Local stability, global stability, discrete genotype selection model

Abstract:

Key words: Local stability, global stability, discrete genotype selection model

中图分类号:

39A12

S.H. Saker . ON THE GLOBAL STABILITY CONJECTURE OF THE GENOTYPE SELECTION MODEL[J]. 数学物理学报(英文版), 2011, 31(2): 512-528.

S.H. Saker . ON THE GLOBAL STABILITY CONJECTURE OF THE GENOTYPE SELECTION MODEL[J]. Acta mathematica scientia,Series B, 2011, 31(2): 512-528.

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