一类含时滞的昆虫免疫模型的定性分析  

Modelling and Analysis of an Insect Immune System with Delay

作　　者：张建华[1] 刘贤宁[1,2] 闫银翠[1] 

机构地区：[1]西南大学数学与统计学院,重庆400715 [2]三峡库区生态环境教育部重点实验室,重庆400715

出　　处：《西南大学学报（自然科学版）》2011年第5期28-33,共6页Journal of Southwest University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10971168);教育部科学技术研究重点项目(109132)

摘　　要：建立并分析了一类具有免疫应答时滞和免疫自助催化时滞的昆虫免疫模型.模型表明黑化封装机制能显著提高免疫能力.另外,入侵的微粒是否能被清除依赖于微粒的初始值和自助催化速率.数学分析表明免疫应答时滞比免疫自助催化时滞有更强的影响,且该时滞导致稳定性的开关现象.An insect immunity model with delayed responses including immune responses time delay and autocatalytic effect time delay is formulated and analyzed.The model suggests that melanotic encapsulation mechanisms can significantly enhance the immunity of insects.In addition,whether or not the invading parasites can be eliminated will depend on the initial abundance of the parasites and the rate of the autocatalytic reaction.Mathematical analysis shows that the immune response time delay has a greater effect than the autocatalytic time delay,and the delay induces a switching of stabilities.

关 键 词：黑化封装 昆虫免疫系统 时滞 

分 类 号：O175.1[理学—数学]