• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>American journal of applied sciences >On Stability and Bifurcation of Solutions of Nonlinear System of Differential Equations for AIDS Disease
【24h】

On Stability and Bifurcation of Solutions of Nonlinear System of Differential Equations for AIDS Disease

机译：艾滋病疾病非线性微分方程组解的稳定性与分支。

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Problem statement: This study aims to discuss the stability and bifurcation of a system of ordinary differential equations expressing a general nonlinear model of HIV/AIDS which has great interests from scientists and researchers on mathematics, biology, medicine and education. The existance of equilibrium points and their local stability are studied for HIV/AIDS model with two forms of the incidence rates. Conclusion/Recommendations: A comparison with recent published results is given. Hopf bifurcation of solutions of an epidemic model with a general nonlinear incidence rate is established. It is also proved that the system undergoes a series of Bogdanov-Takens bifurcation, i.e., saddle-node bifurcation, Hopf bifurcation and homoclinic bifurcation for suitable values of the parameters.
机译：问题陈述：本研究旨在讨论一个表达微弱艾滋病毒/艾滋病的非线性模型的常微分方程组的稳定性和分支性，这引起了数学，生物学，医学和教育领域的科学家和研究人员的极大兴趣。针对艾滋病毒/艾滋病模型，以两种形式的发病率研究了平衡点的存在及其局部稳定性。结论/建议：与最近发表的结果进行比较。建立具有一般非线性发生率的流行病模型解的Hopf分支。还证明了该系统经历了一系列Bogdanov-Takens分叉，即，对于参数的合适值，鞍形节点分叉，Hopf分叉和同斜分叉。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号