EXISTENCE OF MULTIPLE PERIODIC SOLUTIONS TO A NONLINEAR INTEGRAL EQUATION FROM THE THEORY OF EPIDEMICS

被引：0
作者：
GaoZhanhai
LiSichun
机构：
[1] DepartmentofMathematics
[2] NorthwestUniversity!Xi'an
[3] InstituteofEndemicBoneDisease
[4] Xi'anMedicalUniversity!Xi'an
来源：
生物数学学报 | 1996年 / 02期
关键词：
Completelycontinuousoperators; epidemics; fixedpoints; periodicsolutions;
D O I：
暂无
中图分类号：
R181.3 [流行病学各论];
学科分类号：
100401 ;
摘要：
Thenonlinearintegralequation(1.1)isageneralizedmodelforthespreadofdiseaseswithseasonaldependence.Inthispaper,wehaveprovedtheexistenceofatleastthreenontrivialnonnegativeperiodicsolutionstothisequation.
引用
收藏
页码：11 / 16
页数：6
相关论文
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[1]  
Torrejon R.A note on a nonlinear integral equation trom the theory of epidemics. Nonlinear Analysis Theory Methods Applications . 1990
[2]  
Amann H.Fixed point equations and nonlinear eigenvalue problems in ordered Banach spaces. SIAM Review . 1976
[3]  
Cooke K L and Kaplan J L.A periodic threshold theorem for epidemics and population growth. Mathematical Biosciences . 1976
[4]  
Guo D and Lakshmikantham V.Positive solutions of integral equations arising in infectious diseases,J.Math. Analysis and Applications . 1988
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