摘要
考虑Allee效应、相互干扰因子和空间扩散等生态效应,建立了具有Allee效应和相互干扰因素的离散宿主-寄生物的空间扩散模型.对模型进行模拟研究,讨论其平衡点的稳定性,运用MATLAB模拟研究参数的改变对模型动态的影响,采用分岔图来对比分析有无Allee效应和空间扩散的宿主-寄生物模型的变化,最终得出加入Allee效应和空间扩散的宿主-寄生物种群的繁衍代数会增加.
Considering the ecological effects of Allee effect,mutual interference factors and spatial diffusion,the spatial diffusion model of discrete host parasite with Allee effect and mutual interference factors was established.The stability of the equilibrium point is discussed.The effects of parameters on the model dynamics were simulated by using Matlab.The variation of host parasite model with Allee effect and spatial diffusion is analyzed by bifurcation diagram.Finally,it is concluded that the multiplication algebra of host parasite population with Allee effect and spatial diffusion will increase.
作者
马茜
张凯
MA Qian;ZHANG Kai(School of Mathematics and Computer Science,Northwest MinZu University,Lanzhou Gansu 730000)
出处
《宁夏师范学院学报》
2020年第7期20-28,共9页
Journal of Ningxia Normal University
基金
教育部人文社会科学研究基金项目(20XJAZH006)
中央高校基本科研业务费专项资金资助(31920200037,31920200070)
国家民委中青年英才计划(2014121)
西北民族大学甘肃省一流学科引导专项资金(11080305)
西北民族大学数学甘肃省重点学科建设经费资助.
关键词
ALLEE效应
空间扩散
稳定性
计算机
计算机模拟
Allee effect
The spatial diffusion
Stability and the computer simulation of discrete-parasite host mode
