Positive almost periodic solutions for a predator-prey Lotka-Volterra system with delays | Zendy

Ye Yuan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Positive almost periodic solutions for a predator-prey Lotka-Volterra system with delays

Author(s) -

Ye Yuan

Publication year - 2012

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2012.1.65

Subject(s) - mathematics , predation , predator , control theory (sociology) , mathematical economics , ecology , biology , artificial intelligence , computer science , control (management)

In this paper, by using Mawhin’s continuation theorem of coincidence degree theory, sufficient conditions for the existence of positive almost periodic solutions are obtained for the predator-prey Lotka-Volterra competition system with delays 8 > > dui(t) dt = ui(t) ai(t) − n P l=1 ail(t)ul(t − il(t)) − m P j=1 bij(t)vj(t − ij(t)) ,i = 1,...,n, dvj(t) dt = vj(t) − rj(t) + n P l=1 djl(t)ul(t − jl(t)) − m P h=1 ejh(t)vh(t − jh(t))

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research