Permanence and global attractivity of a delayed periodic logistic equation. (English) Zbl 1101.34058
Summary: We consider the delayed periodic logistic equation
\[ \dot N(t)=N(t)[a(t)-b(t)N^p(t-\sigma(t))-c(t)N^q(t-\tau(t))], \]
which describes the evolution of a single species. Sufficient conditions which guarantee the permanence and the globally attractivity of the system are obtained.
\[ \dot N(t)=N(t)[a(t)-b(t)N^p(t-\sigma(t))-c(t)N^q(t-\tau(t))], \]
which describes the evolution of a single species. Sufficient conditions which guarantee the permanence and the globally attractivity of the system are obtained.
MSC:
| 34K20 | Stability theory of functional-differential equations |
| 34K25 | Asymptotic theory of functional-differential equations |
| 92D25 | Population dynamics (general) |
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