Permanence and Stability of a Diffusive Pest Model

被引:0
作者
Qi, Longxing [1 ]
Cui, Jingan [1 ]
Zheng, Weiwei [1 ]
机构
[1] Nanjing Normal Univ, Sch Math & Comp Sci, Inst Math, Nanjing 210097, Peoples R China
来源
PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS | 2008年
关键词
diffusive pest model; locally stable; permanence;
D O I
暂无
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
This paper is concerned with permanence and stability of solutions for diffusive pest system. Some qualitative mathematical properties are analyzed. As a result, the disease-free equilibrium is locally stable and under appropriate conditions the positive equilibrium is also locally stable. Finally, permanence of the diffusive system is established by the method of the comparison principle.
引用
收藏
页码:376 / 379
页数:4
相关论文
共 7 条
[1]  
Ferron P :., 1981, Microbial control of Pests and Plant Diseases 1970-1980
[2]  
FREEDMAN H, 1994, MATH BIOSCI, V31, P207
[3]  
Goh B.S., 1980, MANAGEMENT ANAL BIOL
[4]  
HENRY D, 1993, LECT NOTES MATH, P840
[5]   THE POTENTIAL OF PREDATORS FOR PEST-CONTROL [J].
LUFF, ML .
AGRICULTURE ECOSYSTEMS & ENVIRONMENT, 1983, 10 (02) :159-181
[6]  
van Lenteren J. C., 2000, MEASURES SUCCESS BIO
[7]  
ZHANG H, 2006, BIOSYST IN PRESS