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

• Published in: Nonlinear analysis: real world applications Vol. 67; p. 103609
• Main Authors: Amster, Pablo, Bondorevsky, Melanie
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.10.2022
• Subjects: Delay differential equations; Guiding functions; Nicholson’s equation; Periodic solutions; Topological degree; Uniform persistence; Guiding functions; Uniform persistence; Nicholson’s equation; Delay differential equations; Periodic solutions; Topological degree

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. Furth...