| 一类传染病中立型积分方程模型的多个正解的存在性 |
| |
| 引用本文： | 赵华祥,孙兴旺. 一类传染病中立型积分方程模型的多个正解的存在性[J]. 数学季刊, 2003, 18(1): 21-28 |
| |
| 作者姓名： | 赵华祥 孙兴旺 |
| |
| 作者单位： | 1.Department of Mathematics，Shandong University at Weihai，Weihai 264209，China; 2.Department of Basic Course，Naval Aeronautical Engineering Academy Qingdao Branch，Qingdao 266041，China |
| |
| 摘 要： | § 1 . IntroductionThispaperconsidersthefollowingneutralnonlinearintegraleuqation :x(t) =γx(t-τ) +( 1-γ) ∫tt-τf(s,x(s) )ds,( 1.1)0≤γ<1.Ifγ=0theequation ( 1.1) yieldsx(t) =∫tt-τf(s,x(s) )ds. ( 1.2 )SimilarequationwereconideredbyAIDDADS [1],GUODa jun [2 ],LEGGETT [3]andWILLIAMS [4 ].Nowwebrieflydescirbethemeaningoftheequationinthecontextofepidemics.Thenumberτcanbeinterpretedasthedurationofinfectivity .Insuchamodelitisassumedthatthetotalpoputationisconstant,x(t)isthepoputa…
|
| 关 键 词： | 多重正解 中立型积分方程 传染病模型 存在性 周期相关 Banach空间 锥 严格集压缩 |
Multiple Positive Solutions for Some Neutral Integral Equatious Modeling Infectious Disease |
| |
| ZHAO Hua-xiang,SUN Xing-wang. Multiple Positive Solutions for Some Neutral Integral Equatious Modeling Infectious Disease[J]. Chinese Quarterly Journal of Mathematics, 2003, 18(1): 21-28 |
| |
| Authors: | ZHAO Hua-xiang SUN Xing-wang |
| |
| Affiliation: | [1]DepartmentofMathematics,ShandongUniversityarWeihai,Weihai264209,China [2]DepartmentofBasicCourse,NavalAeronauticalEngineeringAcademyQingdaoBranch,Qingdao266041,China |
| |
| Abstract: | By using fixed point index theory of cone mapping and extension method,this paper discusses the existence of multiple positive solution of nonlinear neutral integral equatious modeling infectious dis-ease. |
| |
| Keywords: | neutral integral equation strict set contraction cone |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
