|本期目录/Table of Contents|

[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):305-310.
　ZHONG Xiao-rong,WANG Feng-yan,ZHANG Shu-wen.Periodicity in a Holling-Tanner Eco-epidemiological System[J].Journal of Jimei University,2015,20(4):305-310.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:
第20卷
期数:
2015年第4期
页码:
305-310
栏目:
数理科学与信息工程
出版日期:
2015-07-25

文章信息/Info

Title:
Periodicity in a Holling-Tanner Eco-epidemiological System
作者:
钟小容; 王凤筵; 张树文
（集美大学理学院， 福建 厦门 361021）
Author(s):
ZHONG Xiao-rong; WANG Feng-yan; ZHANG Shu-wen
（School of Science,Jimei University，Xiamen 361021，China）
关键词:
Holling-Tanner; 捕食-食饵模型; 周期解; 重合度; Mawhin连续性定理
Keywords:
Holling-Tanner; predator-prey model; periodic solution; coincidence degree; Mawhins continuation theorem
分类号:
-
DOI:
-
文献标志码:
A
摘要:
研究了一类在捕食者种群中带有传染病结构的周期非自治Holling-Tanner捕食者-食饵模型，证明了所有正初始值的解保持正值，并利用重合度理论、Mawhins的连续性定理，得到了周期非自治系统正周期解存在的充分条件.
Abstract:
An epidemic model of a Holling-Tanner predator-prey system with epidemic in predator is discussed in this paper.The solution with initial data always remains positive in its region.The sufficient conditions are easily established for the existence of positive periodic solutions,by the methods of coincidence degree and Mawhins continuation theorem.

参考文献/References:

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相似文献/References:

[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.
　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(4):459.
[2]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(4):385.

备注/Memo

备注/Memo:
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更新日期/Last Update: 2015-09-14