Abstract
Delay effect in the Nicholson's blowflies model with a nonlinear density-dependent mortality term
Highlights
Based on that marine ecologists are currently constructing new fishery models with nonlinear density-dependent mortality rates, the following Nicholson’s blowflies model with a nonlinear density-dependent mortality termN (t) = −D(N(t)) + PN(t − τ)e−N(t−τ), (1.1)was proposed in L
Its generalized equations have been extensively studied, and this extensive study has produced a lot of progress on the existence and stability of positive equilibrium point, positive periodic solutions, and positive almost periodic solutions, see more details in [2,3,4,8,11,12,13,18]
It is worthy mentioned that there have been few papers concerning the effect of delay on the dynamical behavior of the delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term
Summary
Based on that marine ecologists are currently constructing new fishery models with nonlinear density-dependent mortality rates, the following Nicholson’s blowflies model with a nonlinear density-dependent mortality term. The author in [9] established several criteria on the global asymptotic stability of zero equilibrium point for the following Nicholson’s blowflies model with a nonlinear density-dependent mortality term: m. W. Xiong where a, b, βj, γj are positive constants, τj(t) ≥ 0 is a bounded and continuous function, and j ∈ J = {1, 2, . It is worthy mentioned that there have been few papers concerning the effect of delay on the dynamical behavior of the delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term. Motivated by the above works, the effect of delay on the dynamical behavior of the delayed Nicholson’s blowflies model with a nonlinear density-dependent mortality term attracted our attention.
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