This paper deals mainly with the existence and asymptotic behavior of traveling waves in a SIRH model with spatio-temporal delay and nonlocal dispersal based on Schauder’s fixed-point theorem and analysis techniques,...This paper deals mainly with the existence and asymptotic behavior of traveling waves in a SIRH model with spatio-temporal delay and nonlocal dispersal based on Schauder’s fixed-point theorem and analysis techniques,which generalize the results of nonlocal SIRH models without relapse and delay.In particular,the difficulty of obtaining the asymptotic behavior of traveling waves for the appearance of spatio-temporal delay is overcome by the use of integral techniques and analysis techniques.Finally,the more general nonexistence result of traveling waves is also included.展开更多
In this paper, by using the Guo-Krasnoselskii＇s fixed-point theorem, we establish the existence and multiplicity of positive solutions for a fourth-order nonlinear eigenvalue problem. The corresponding examples are a...In this paper, by using the Guo-Krasnoselskii＇s fixed-point theorem, we establish the existence and multiplicity of positive solutions for a fourth-order nonlinear eigenvalue problem. The corresponding examples are also included to demonstrate the results we obtained.展开更多
基金jointly supported by the National Natural Science Foundation of China(52202286,51971124,52171217)Zhejiang Provincial Natural Science Foundation of China(LZ21E010001)。
基金supported by the NSF of China(11761046)Science and Technology Plan Foundation of Gansu Province of China(20JR5RA411)Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University。
文摘This paper deals mainly with the existence and asymptotic behavior of traveling waves in a SIRH model with spatio-temporal delay and nonlocal dispersal based on Schauder’s fixed-point theorem and analysis techniques,which generalize the results of nonlocal SIRH models without relapse and delay.In particular,the difficulty of obtaining the asymptotic behavior of traveling waves for the appearance of spatio-temporal delay is overcome by the use of integral techniques and analysis techniques.Finally,the more general nonexistence result of traveling waves is also included.
基金Supported by the NSF of China(11301241)Science and Technology Plan Foundation of Gansu Province(145RJYA250)Young Scientist Foundation of Lanzhou Jiaotong University(2011029)
文摘In this paper, by using the Guo-Krasnoselskii＇s fixed-point theorem, we establish the existence and multiplicity of positive solutions for a fourth-order nonlinear eigenvalue problem. The corresponding examples are also included to demonstrate the results we obtained.
