摘要
讨论了一类成年个体出生率受幼年群体数量制约的阶段结构同类相食模型。首先,通过代数方法得到模型存在唯一的正平衡点;其次,通过线性近似的方法和迪拉克函数得到模型的正平衡点是全局渐近稳定的。研究表明,同类相食和幼年群体数量对成年个体出生率的制约均不会改变模型原有的动力学性态,而仅仅会使得种群的最终数量有所下降。
This paper discusses a stage structured cannibalism model in which the birth rate of adult individuals is constrained by the number of juvenile populations.Firstly,the existence and uniqueness of positive equilibrium point of the model are obtained by algebraic methods;Secondly,the positive equilibrium point of the model is globally asymptotically stable by using linear approximation and Dulac function.Research shows that the constraints of cannibalism and the number of juvenile populations on the birth rate of adult individuals will not change the original dynamic behavior of the model,but only lead to a decrease in the final number of populations.
作者
薛亚龙
官冰冰
XUE Yalong;GUAN Bingbing(School of Mathematics and Physics,Ningde Normal University,Ningde Fujian 352100,China)
出处
《莆田学院学报》
2024年第2期21-24,共4页
Journal of putian University
基金
福建省自然科学基金资助项目(2021J011155)
福建省中青年教师教育科研项目(JAT210461)。
关键词
同类相食
稳定性
阶段结构
cannibalism
stability
stage structured
