## 摘要

The purpose of this work is to study the existence of entire solutions for delayed monostable epidemic models with and without the quasi-monotone condition. In the quasi-monotone case, we first establish the comparison principle and construct appropriate sub-solutions and upper estimates. Then the existence and qualitative features of entire solutions are proved by mixing any finite number of traveling wave fronts with different speeds c ≥c_{min} and directions and a spatially independent solution, where c_{min} > 0 is the critical wave speed. In the non-quasi-monotone case, some new types of entire solutions are constructed by using the traveling wave fronts and spatially independent solutions of two auxiliary quasi-monotone systems and a comparison theorem for the Cauchy problems of the three systems.

原文 | ???core.languages.en_GB??? |
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頁（從 - 到） | 6033-6062 |

頁數 | 30 |

期刊 | Transactions of the American Mathematical Society |

卷 | 368 |

發行號 | 9 |

DOIs | |

出版狀態 | 已出版 - 2016 |