On persistence of a Nicholson-type system with multiple delays and nonlinear harvesting

2021/12/10 by Amster, Pablo, Bondorevsky, Melanie
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2112.05713

Abstract

An N-dimensional generalization of Nicholson's equation is analyzed. We consider a model including multiple delays, nonlinear coefficients and a nonlinear harvesting term. Inspired by previous results in this subject, we obtain sufficient conditions to guarantee strong and uniform persistence. Furthermore, under extra suitable hypotheses we prove the existence of T-periodic solutions and, reversing the prior conditions in a convenient manner, we show that the zero is a global attractor.

Related

• Heteroclinic Connection in a Nicholson's delayed model with Harvesting term
• Persistence and global attractivity in the model A_n+1=A_nF(A_n-m)
• Bifurcation and periodic solutions to population models with two dependent delays
• Stability of a Time-varying Fishing Model with Delay
• Dynamics of the diffusive Nicholson's blowflies equation with distributed delay