|本期目录/Table of Contents|

[1]钟小容,王凤筵,张树文,等.捕食者染病的生态流行病系统的稳定性[J].集美大学学报(自然科学版),2014,19(6):459-462.
　ZHONG Xiao-rong,WANG Feng-yan,ZHANG Shu-wen,et al.The Stability of Eco-epidemiological Model with Infected Predator[J].Journal of Jimei University,2014,19(6):459-462.
点击复制

捕食者染病的生态流行病系统的稳定性()
分享到：

《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第19卷
期数:
2014年第6期
页码:
459-462
栏目:
数理科学与信息工程
出版日期:
2014-11-25

文章信息/Info

Title:
The Stability of Eco-epidemiological Model with Infected Predator
作者:
钟小容; 王凤筵; 张树文; 沈柠
集美大学理学院，福建　厦门　361021
Author(s):
ZHONG Xiao-rong; WANG Feng-yan; ZHANG Shu-wen; SHEN Ning
School of Science,Jimei University,Xiamen 361021,China
关键词:
捕食-食饵模型; 平衡点; 稳定性
Keywords:
prey-predator model; equilibrium; stability
分类号:
-
DOI:
-
文献标志码:
A
摘要:
讨论了一类在捕食者种群中带有传染病结构的捕食-食饵模型，确定了各平衡点存在的阈值条件.此外，利用特征根法、Hurwitz判别法和Lyapunov-Lassel不变集等方法，得到了各个平衡点稳定性的结论.
Abstract:
An epidemic model of a predator-prey system with epidemic in predator was discussed in this paper,the conditions and threshold to the existence of various equilibriums were established.By means of the characteristic root method, Hurwitz criterion and Lyapunov-Lassel invariant set theorem,the stable results of various equilibriums were obtained.

参考文献/References:

-

相似文献/References:

[1]钟小容,王凤筵,张树文.一类Holling-Tanner生态流行病系统的周期解[J].集美大学学报(自然科学版),2015,20(4):305.
　ZHONG Xiao-rong,WANG Feng-yan,ZHANG Shu-wen.Periodicity in a Holling-Tanner Eco-epidemiological System[J].Journal of Jimei University,2015,20(6):305.
[2]叶星旸.基于分数阶微分方程的木马病毒传播规律[J].集美大学学报(自然科学版),2019,24(2):145.
　YE Xingyang.An Epidemic Model of the Trojan Virus Propagation Based on Fractional Differential Equations[J].Journal of Jimei University,2019,24(6):145.
[3]叶葱,魏春金,张树文.具有Holling IV功能性反应和非线性收获的随机捕食-食饵模型[J].集美大学学报(自然科学版),2023,28(5):385.
　YE Cong,WEI Chunjin,ZHANG Shuwen.A Stochastic Predator-Prey Model with Holling IV Type Functional Response and Nonlinear Harvest[J].Journal of Jimei University,2023,28(6):385.

备注/Memo

备注/Memo:
-
更新日期/Last Update: 2015-01-05