Nkashama, M. N. Bounded and almost-periodic solutions of nonlocal perturbations of nonautonomous logistic-type equations. (English) Zbl 0999.34044 Acta Appl. Math. 65, No. 1-3, 283-293 (2001). Here, nonautonomous logistic-type equations with nonlinear nonlocal perturbations are studied. The existence, uniqueness, boundedness and positiveness of the solution are proved. Further, it is shown that this solution is an attractor for all other positive solutions while the zero solution is a repeller one. Finally, the existence of an almost-periodic attractor is also discussed. Reviewer: Chen Lan Sun (Beijing) Cited in 1 ReviewCited in 2 Documents MSC: 34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations 34D45 Attractors of solutions to ordinary differential equations 34C11 Growth and boundedness of solutions to ordinary differential equations 54H20 Topological dynamics (MSC2010) 34C37 Homoclinic and heteroclinic solutions to ordinary differential equations 92D25 Population dynamics (general) Keywords:logistic; almost periodic; nonlocal perturbation; attractor PDFBibTeX XMLCite \textit{M. N. Nkashama}, Acta Appl. Math. 65, No. 1--3, 283--293 (2001; Zbl 0999.34044) Full Text: DOI