【摘要】 利用重合度理论中的延拓定理讨论了一类积分微分方程模型正周期解的存在性,利用GainesandMawhin[1]重合度理论中的连续性定理以及先验估计研究了一类积分微分方程模型正周期解的存在性,得出了保证正周期解存在的充分条件.此模型还包括了许多著名的生物数学模型作为特例.将此研究结果应用到一些更为具体的生物数学模型,得出了这些模型存在正周期解的充分性判据.研究表明此项研究的结果更为广泛,推广并改进了文献中已有的相关结果.更多还原

【Abstract】 In the paper,we use the coincidence degree theory in Gaines and Mawhin[1] and its related continuity theorem as well as some priori estimates to explore the existence of positive periodic solutions of a class of integrodifferential equation model and obtain sufficient criteria for existence of positive periodic solutions.This model also involves many wellknown biomathematical model as spceific examples.Hence,we carry out some applications of such criteria to some more concrete biomathematical models and get the sufficient criteria for existence of positive periodic solutions.The investigation is to show that the results in the paper will be more extensitive and will improve the relative results of which have been widely studied in literatures.更多还原