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Zbl 1205.34110
Wang, Xiaoping
Stability and existence of periodic solutions for a time-varying fishing model with delay.
(English)
[J] Nonlinear Anal., Real World Appl. 11, No. 5, 3309-3315 (2010). ISSN 1468-1218

Summary: We study the stability and existence of periodic solutions for a time-varying fishing model with delay $$\dot{N}(t) = N(t) \left[\frac{a(t)}{1+\left(\frac {N(\theta(t))}{K(t)}\right)^{\gamma}}-b(t)\right],$$ and obtain a necessary and sufficient condition for the existence of periodic solutions and the best possible'' conditions for global attractivity for the above equation.
MSC 2000:
*34K60 Applications of functional-differential equations
34K13 Periodic solutions of functional differential equations
34K20 Stability theory of functional-differential equations
34D45 Attractors

Keywords: fisheries; periodic environment; delay differential equations; global stability

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