Almost periodic solutions of n-species competitive system with feedback controls

By Yonghui Xia, Jinde Cao, Huiying Zhang, Fengde Chen. 2004

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Abstract In this paper, the following almost periodic n-species competitive system with feedback controls x i (t)=x i (t)[b i (t)− ∑ j=1 n a ij (t)x j (t)− ∑ j=1,j≠i n c ij (t)x i (t)x j (t)−d i (t)u i (t)], u i (t)=r i (t)−e i (t)u i (t)+f i (t)x i (t), i=1,2,…,n, are studied by using the comparison theorem and constructing suitable Lyapunov function, where some important factors such as the effect of toxic and the age-structure are also considered simultaneously. Some sufficient conditions are obtained for the existence of a unique almost periodic solution of above model. Examples show that the obtained criteria are new, general, and easily verifiable.

Subfields: Applied Mathematics, Genetics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/0fa311000081a1919b47feae86100c42a3ef4f3b