Ni, Hua; Tian, Li-Xin; Yao, Hong-Xing On the positive almost periodic solutions of a class of nonlinear Lotka-Volterra type system with feedback control. (English) Zbl 1244.34066 J. Appl. Math. 2012, Article ID 135075, 15 p. (2012). Summary: With the help of the variable substitution and applying the fixed point theorem, we derive the sufficient conditions which guarantee the existence of the positive almost periodic solutions for a class of Lotka-Volterra type system. The main results improve and generalize the former corresponding results. Cited in 2 Documents MSC: 34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations 92D25 Population dynamics (general) PDF BibTeX XML Cite \textit{H. Ni} et al., J. Appl. Math. 2012, Article ID 135075, 15 p. (2012; Zbl 1244.34066) Full Text: DOI OpenURL References: [1] A. M. Fink, Almost Periodic Differential Equations, vol. 377 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 1974. · Zbl 0325.34039 [2] C. Y. He, Almost Periodic Differential Equations, Higher Education Press, Beijing, China, 1992. [3] Z. D. Teng, “On the positive almost periodic solutions of a class of Lotka-Volterra type systems with delays,” Journal of Mathematical Analysis and Applications, vol. 249, no. 2, pp. 433-444, 2000. · Zbl 0967.34064 [4] C. Wang and J. Shi, “Positive almost periodic solutions of a class of Lotka-Volterra type competitive system with delays and feedback controls,” Applied Mathematics and Computation, vol. 193, no. 1, pp. 240-252, 2007. · Zbl 1193.34146 [5] Y. Xie and X. G. Li, “On the positive almost periodic solutions of a class of Lotka-Volterra type system with feedback control,” Annals of Mathematics, vol. 30, no. 2, pp. 161-168, 2009. · Zbl 1212.34141 [6] W. A. Coppel, Dichotomies in Stability Theory, vol. 629 of Lecture Notes in Mathematics, Springer, Berlin, Germany, 1978. · Zbl 0376.34001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.