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Bounded and almost-periodic solutions of nonlocal perturbations of nonautonomous logistic-type equations. (English) Zbl 0999.34044

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.

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)
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