科研之友
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摘要
In this paper, a mathematical model for the population age replacement of Pinus koraiensis (Korean pine) in natural forest is developed. Using the stability and qualitative theory of ordinary differential equations, the sufficient conditions of existence of limit cycle and globally asymptotic stability of the positive equilibrium for the model are given. Furthermore, the stability of limit cycle is determined. At last we validate the result by plotting with Maple and conclude that young trees and mother trees of Pinus koraiensis in natural forest will change in a periodic undulation.
