This paper is concerned with traveling waves for an epidemic model with spatio-temporal delays. It is shown that the traveling wave solutions are still persistently existing in the model when the non-locality is cause...This paper is concerned with traveling waves for an epidemic model with spatio-temporal delays. It is shown that the traveling wave solutions are still persistently existing in the model when the non-locality is caused by small average time delays via the geometric singular perturbation theory and the center manifold theorems.展开更多
The stability of traveling wavefronts for a spatially nonlocal population model with quasi-monotonicity and delay is discussed in this article.It is shown that all monostable wavefronts are exponentially stable for la...The stability of traveling wavefronts for a spatially nonlocal population model with quasi-monotonicity and delay is discussed in this article.It is shown that all monostable wavefronts are exponentially stable for large speed with the help of weightedenergy method and comparison principle.The proper selection of the weighted function is necessary to overcome the difficulty caused by the nonlocal nonlinearity for establishing the energy estimates of solutions.展开更多
An existence criterion of triple positive solutions to a third-order m-point boundary value problem{v″′(s)+λh(s)f(s,v(s),v′(s))=0,s∈(0,1),v(0)=v″(0)=0,v′(1)=∑m-i=1kiv(ηi),is established by Avery-Peterson fixe...An existence criterion of triple positive solutions to a third-order m-point boundary value problem{v″′(s)+λh(s)f(s,v(s),v′(s))=0,s∈(0,1),v(0)=v″(0)=0,v′(1)=∑m-i=1kiv(ηi),is established by Avery-Peterson fixed point theorem.At the same time,a corresponding example is given to illustrate the result.展开更多
基金Supported by the National Natural Science Foundation of China (Grant No. 11761046)Science and Technology Plan Foundation of Gansu Province of China (Grant No. 20JR5RA411)。
文摘This paper is concerned with traveling waves for an epidemic model with spatio-temporal delays. It is shown that the traveling wave solutions are still persistently existing in the model when the non-locality is caused by small average time delays via the geometric singular perturbation theory and the center manifold theorems.
基金Supported by the NSF of China(Grant No.11761046)Science and Technology Plan Foundation of Gansu Province of China(Grant No.20JR5RA411)Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University.
文摘The stability of traveling wavefronts for a spatially nonlocal population model with quasi-monotonicity and delay is discussed in this article.It is shown that all monostable wavefronts are exponentially stable for large speed with the help of weightedenergy method and comparison principle.The proper selection of the weighted function is necessary to overcome the difficulty caused by the nonlocal nonlinearity for establishing the energy estimates of solutions.
基金Supported by the National Natural Science Foundation of China(Grant No.11761046)Natural Science Foundation of Gansu Province(Grant No.20JR5RA411).
文摘An existence criterion of triple positive solutions to a third-order m-point boundary value problem{v″′(s)+λh(s)f(s,v(s),v′(s))=0,s∈(0,1),v(0)=v″(0)=0,v′(1)=∑m-i=1kiv(ηi),is established by Avery-Peterson fixed point theorem.At the same time,a corresponding example is given to illustrate the result.
