Necessary and Sufficient Conditions for the Existence of Periodic Solutions of a Nicholson Type Delay System

Dynamics in a Nonautonomous Nicholson-Type Delay System

“…It is well known that system (1) not only has profound practical significance but also will enrich and perfect the models on the Nicholson blowflies to some extent. From the published papers [4][5][6][7][8][9][10][11][12][13][14][15][16], we can also find several other similar interesting models on the Nicholson blowflies. For example, Saker and Agarwal [4] studied the periodic solution of the following nonautonomous periodic Nicholson's blowfly system:…”

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

“…In order to study periodic solutions, the following notation shall be adapted from [2]. Let C T be the Banach space of continuous T -periodic vector functions, with the standard norm • ∞ .…”

“…It is worth recalling that Nicholson's equation and extensions have been studied by different authors. Earlier work includes: [1], [2], [5], [7], [8], [10], [14], [15], [17], [19] and references therein. A number of cases involving multiple delays, nonlinear coefficients and linear harvesting terms have been also explored.…”

“…Additional results for Nicholson-type equations were analyzed by the first author, together with Balderrama and Idels [3] and Déboli [2].…”

Existence of periodic solution of Nicholson-type system with nonlinear density-dependent mortality

“…The system (1) with periodic coefficients has been studied, among others, by Faria [8] and Amster and Deboli [2]. In the first work the author, by using a dissipativity result, the Green operator of the system and the Schauder fixed point Theorem manages to determine sufficient conditions to guarantee the existence of periodic solutions.…”