...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Mathematical Biology >Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
【24h】

Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system

机译：Michaelis-Menten型比率依赖的捕食者－猎物系统的全局分析

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

The recent broad interest on ratio-dependent based predator functional response calls for detailed qualitative study on ratio-dependent predator-prey differential systems. A first such attempt is documented in the recent work of Kuang and Beretta(1998), where Michaelis-Menten-type ratio-dependent model is studied systematically. Their paper, while contains many new and significant results, is Far from complete in answering the many subtle mathematical questions on the global qualitative behavior of solutions of the model. Indeed, many of such important open questions are mentioned in the discussion section of their paper. Through a simple change of variable, we transform the Michaelis-Menten-type ratio-dependent model to a better studied Gause-type predator-prey system. As a result, we can obtain a complete classification of the asymptotic behavior of the solutions of the Michaelis-Menten-type ratio-dependent model. In some cases we can determine how the outcomes depend on the initial conditions. In particular, open questions on the global stability of all equilibria in various cases and the uniqueness of limit cycles are resolved. Biological implications of our results are also presented. [References: 27]
机译：基于比率依赖的捕食者-功能性反应的最近广泛兴趣呼吁对比率依赖的捕食者-猎物差分系统进行详细的定性研究。第一次这样的尝试记录在Kuang和Beretta（1998）的最新工作中，其中系统地研究了Michaelis-Menten型比率依赖模型。他们的论文虽然包含许多新的重要结果，但在回答有关模型解的整体定性行为的许多微妙的数学问题时，还远远不够完整。的确，在其论文的讨论部分中提到了许多此类重要的开放性问题。通过简单地更改变量，我们将Michaelis-Menten类型的比率相关模型转换为经过更好研究的Gause型捕食者—食饵系统。结果，我们可以获得Michaelis-Menten型比率依赖模型的解的渐近行为的完整分类。在某些情况下，我们可以确定结果如何取决于初始条件。尤其是解决了在各种情况下所有均衡的全局稳定性和极限环的唯一性的公开问题。还介绍了我们的结果的生物学意义。 [参考：27]

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