American Mathematical Society;Providence, Rhode Island: American Mathematical Society
摘要:
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≥cminc\geq c_{\min } and directions and a spatially independent solution, where cmin>0c_{\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. 其他題名： Trans. Amer. Math. Soc 出版者： Providence, Rhode Island: American Mathematical Society 出版日期： 2016-09-01 出處： Transactions of the American Mathematical Society, 2016-09, Vol.368 (9), p.6033-6062 資源來源： JSTOR scholarly archive 版權： Copyright 2015 American Mathematical Society 版權： 2016 American Mathematical Society 識別號： ISSN: 0002-9947 識別號： ISSN: 1088-6850 識別號： EISSN: 1088-6850 識別號： DOI: 10.1090/tran/6526
