莆田学院学报2024,Vol.31Issue(2) :21-24.

一类成年个体出生率受幼年群体数量制约的同类相食模型

A Class of Cannibalism Model with Adult Individual Birth Rate Constrained by the Number of Juvenile Populations

薛亚龙 官冰冰
莆田学院学报2024,Vol.31Issue(2) :21-24.

一类成年个体出生率受幼年群体数量制约的同类相食模型

A Class of Cannibalism Model with Adult Individual Birth Rate Constrained by the Number of Juvenile Populations

薛亚龙 1官冰冰1
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作者信息

  • 1. 宁德师范学院 数理学院,福建 宁德 352100
  • 折叠

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.

Abstract

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.

关键词

同类相食/稳定性/阶段结构

Key words

cannibalism/stability/stage structured

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基金项目

福建省自然科学基金(2021J011155)

福建省中青年教师教育科研项目(JAT210461)

出版年

2024
莆田学院学报
莆田学院

莆田学院学报

影响因子:0.239
ISSN:1672-4143
参考文献量11
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