Title | ||
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Existence of positive periodic solutions of nonlinear discrete model exhibiting the Allee effect |
Abstract | ||
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In this paper we shall consider the discrete nonlinear delay population model with Allee effectx(n+1)=x(n)exp(a(n)+b(n)x^p(n-@w)-c(n)x^q(n-@w)),where a(n), b(n) and c(n) are positive sequences of period @w and p and q are positive integers. By using the coincidence degree theorem as well as some priori estimates we will establish a sufficient condition for the existence of positive periodic solution {x"n^*}. |
Year | DOI | Venue |
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2005 | 10.1016/j.amc.2004.10.005 | Applied Mathematics and Computation |
Keywords | Field | DocType |
sufficient condition,positive integer,discrete population model,positive periodic solution,periodic,nonoscillation,coincidence degree theorem,positive sequence,discrete nonlinear delay population,nonlinear discrete model,allee effectx,allee effect,population model | Integer,Mathematical optimization,Nonlinear system,Non linear model,Coincidence,Allee effect,Numerical analysis,Population model,Periodic graph (geometry),Mathematics | Journal |
Volume | Issue | ISSN |
168 | 2 | Applied Mathematics and Computation |
Citations | PageRank | References |
4 | 0.61 | 2 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Y. G. Sun | 1 | 11 | 2.40 |
S. H. Saker | 2 | 44 | 19.32 |