Positive periodic solutions for an integrodifferential model of mutualism
β Scribed by Yongkun Li; Guitong Xu
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 317 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
β¦ Synopsis
Commumcated by M Slemrod
Abstract--Sufficient conditions are obtained for the existence of positive penodm solutions of the followmg mtegrodtfferentml model of mutuahsm
s)ds K2(t) + c~2(t) dl(s)Nl(t -s) ds dN2(t) _ r2(t)N2(t) . ---~ .... N2(t -a2(t)) , dt [ 1+/0 Jl(S)Nl(t-s)ds
where r~,K~,a~,a~, ~ = 1,2 are positive continuous w-permdm functmns, a~ > K~, z = 1,2, J~ E C([0, c~], [0, c~)), and /o J~(s) ds = 1, z = 1, 2
π SIMILAR VOLUMES
Sufficient conditions axe obtained for the existence and global stability of a positive periodic solution in some periodic integrodifferential systems with feedback controls by using the technique of coincidence degree and Lyapunov functional. (~) 2000 Elsevier Science Ltd. All rights reserved.
using the theory of coincidence degree, the existence of positive periodic solutions for a delayed model in population is proved. A new result is obtained. Some related results are improved.