摘要
建立了具有r+1类功能性反应函数的捕食者具有疾病的生态流行病SIS模型.利用比较原理与不等式估值,研究了解的有界性;应用特征根法得到了平衡点局部渐近稳定的充分条件;通过构造相应的Lyapunov函数,得到了边界平衡点和正平衡点全局稳定的充分条件.
An SIS prey-predator model of predator with epidemic and r＋1 functional response was established. Through the comparison principle and estimates of inequalities, the bounded property of resolution was studied. The stability of the equilibria was discussed with the method of latent root of matrix and, through construing the Lyapunov function, the stability conditions of boundary equilibria and positive equilibria were obtained.
出处
《兰州大学学报（自然科学版）》
CAS
CSCD
北大核心
2011年第6期93-97,共5页
Journal of Lanzhou University(Natural Sciences)
基金
国家自然科学基金项目(60671063
11171199)
关键词
捕食-被捕食系统
平衡点
渐近稳定
prey-predator system
equilibrium
asymptotically stable
