摘要
建立一类右端不连续的病菌与免疫系统竞争模型，讨论模型滑模的存在性．真假平衡点以及伪平衡点的存在性和全局稳定性及局部滑动边界点分歧等动力学性质．研究结果表明病菌与免疫细胞最终在伪平衡点或真平衡点处共存．最后，运用数学软件进行数值模拟，验证了所得的理论结果．
In this paper, we developed a competitive model with discontinuous right side of pathogen and immune system and discussed the existence of sliding mode domain, the existence and global stability of regular equilibria, virtual equilibria, pseudo-equilibria and local sliding boundary point bifurcation dynamics. The results showed that the pathogen and the immune cell eventually coexist at the pseudo-equilibrium point or the regular equilibrium point. Numerical simulations are carried out by using mathematical software to support the theoretical results.
出处
《数学的实践与认识》
北大核心
2018年第1期223-229,共7页
Mathematics in Practice and Theory
基金
国家自然科学基金青年基金项目(11201277)
陕西省自然科学基金项目(2015JM1011)
陕西省教育厅自然科学专项基金项目(12JK0851)
