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Global stability of a class of Nicholson’s blowflies model with patch structure and multiple time-varying delays. (English) Zbl 1197.34165
Summary: This paper is concerned with a class of the generalized Nicholson’s blowflies models with patch structure and multiple time-varying delays. Under suitable conditions, we present a new proof to establish some criteria for global stability of the positive equilibrium of this model. Moreover, we give an example to illustrate our main result.
MSC:
34K60Qualitative investigation and simulation of models
34K20Stability theory of functional-differential equations
34K21Stationary solutions of functional-differential equations
92D25Population dynamics (general)