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Dynamics of Nicholson’s blowflies models with a nonlinear density-dependent mortality

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Abstract This paper is concerned with a asymptotically almost periodic Nicholson’s blowflies model involving a nonlinear density-dependent mortality term.By combining Lyapunov function method with differential inequality techniques, some novel sufficient… Click to show full abstract

Abstract This paper is concerned with a asymptotically almost periodic Nicholson’s blowflies model involving a nonlinear density-dependent mortality term.By combining Lyapunov function method with differential inequality techniques, some novel sufficient conditions are derived to guarantee the asymptotically almost periodicity of the addressed model. Especially, a numerical example with graphical illustration is present to show the correctness of the theoretical results.

Keywords: nonlinear density; density dependent; dependent mortality; nicholson blowflies

Journal Title: Applied Mathematical Modelling
Year Published: 2018

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