A nonautonomous nonlinear functional differential equation arising in the theory of population dynamics. (English) Zbl 0578.34049
Summary: A nonlinear periodic functional differential equation with unbounded delay describing the growth of a single species with depensation is considered. The global bifurcation of positive periodic solutions from the null one is studied and the differences from logistic-type equations are shown, namely the multiplicity of nontrivial solutions and the occurrence of a new bifurcation phenomenon. The biological meaning of the results is discussed.
MSC:
| 34K99 | Functional-differential equations (including equations with delayed, advanced or state-dependent argument) |
| 34C25 | Periodic solutions to ordinary differential equations |
| 92B05 | General biology and biomathematics |
Keywords:
nonlinear periodic functional differential equation; unbounded delay; global bifurcation; positive periodic solutionsReferences:
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