Linear Harvesting Term Research Articles

Periodic Oscillating Dynamics for a Delayed Nicholson-Type Model with Harvesting Terms

In this manuscript, a delayed Nicholson-type model with linear harvesting terms is investigated. Applying coincidence degree theory, we establish a sufficient condition which guarantees the existence of positive periodic solutions for the delayed Nicholson-type model. By constructing suitable Lyapunov functions, a new criterion for the uniqueness and global attractivity of the periodic solution of the Nicholson-type delay system is obtained. The derived results of this article are completely new and complement some previous investigations.

A new method to investigate almost periodic solutions for an Nicholson's blowflies model with time-varying delays and a linear harvesting term.

In this paper, a delayed Nicholson's blowflies model with a linear harvesting term is investigated. By transforming the model into an equivalent integral equation, and applying a fixed point theorem inc ones, we establish a sufficient condition which ensure the existence of positive almost periodic solutions for the Nicholson's blowflies model. The results of this paper are completely new and complement those of the previous studies. The approach is new.

Pseudo almost periodic dynamics of impulsive Nicholson’s blowflies model with nonlinear density-dependent mortality term

In this paper, a class of impulsive Nicholson’s blowflies model with linear harvesting term and nonlinear density-dependent mortality term is concerned. Under proper conditions, some criteria are established for the existence, uniqueness and exponentially stable of the piecewise weighted pseudo almost periodic solution for the model. Moreover, an example is given to illustrate the significance of the main findings.

Existence of almost periodic solution for neutral Nicholson blowflies model

This paper is concerned with a class of neutral Nicholson blowflies models with leakage delays and linear harvesting terms. Under appropriate conditions, some criteria are established for the existence and global exponential stability of almost periodic solutions for the model by applying exponential dichotomy theory. An example is provided to illustrate the effectiveness of the results.

Pseudo-almost periodic solutions for a discrete Nicholson’s blowflies model with harvesting term

This paper is concerned with a discrete Nicholson’s blowflies model, which involves a linear harvesting term. In the case where the coefficients are pseudo-almost periodic functions, we establish the existence and local exponential stability of pseudo-almost periodic solutions for the addressed Nicholson’s blowflies model by using the contraction mapping theorem and a Lyapunov functional. An example is given to illustrate our results.

Pseudo-almost periodic solution for impulsive hematopoiesis model with infinite delays and linear harvesting term

In this paper, a generalized impulsive model of hematopoiesis with infinite delays and linear harvesting term is investigated. The main purpose of this paper is to study the existence, uniqueness and exponential stability of the positive pseudo-almost periodic solutions, which improve and extend some known relevant results. Moreover, an example is given to illustrate the main findings.

Almost periodic solution of Nicholson’s blowflies difference equation with linear harvesting term

This paper is concerned with Nicholson’s blowflies difference model with linear harvesting term. We obtain sufficient conditions for the existence of an almost periodic positive solution by using contraction mapping principle. The exponential convergence of almost periodic positive solution is derived by discrete Lyapunov functional.

Global Stability of Pseudo Almost Periodic Solutions for a Nicholson’s Blowflies Model with a Harvesting Term

This paper is concerned with a non-autonomous delayed Nicholson’s blowflies model with a linear harvesting term. Under proper conditions, by suing the exponential dichotomy theory and fixed point theorem, we employ a novel argument to establish a criterion on the global exponential stability of positive pseudo almost periodic solutions of the model. The obtained result complements with some existing ones.

Almost periodic solution of Nicholson's blowflies model with linear harvesting term and impulsive effects

This paper is concerned with impulsive Nicholson's blowflies model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential convergence of the almost periodic positive solution by Lyapunov functional.

Pseudo almost periodic solution of Nicholson’s blowflies model with mixed delays

This paper presents a new generalized Nicholson’s blowflies model with a linear harvesting term and mixed delays. The main purpose of this paper is to study the existence and the attractivity of the pseudo almost periodic solutions, which are more general and complicated than periodic and almost periodic solutions. Under suitable assumptions, and by using fixed point theorem, sufficient conditions are given to study the pseudo almost periodic solution for the considered model. Moreover, an illustrative example is given to demonstrate the effectiveness of the obtained results.

Positive Almost Periodic Solution for Impulsive Nicholson’s Blowflies Model with Linear Harvesting Term on the Bounded Domain

In this paper, impulsive Nicholson’s blowflies model with linear harvesting term is studied. By using the contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of a unique positive almost periodic solution. In addition, the exponential convergence of positive almost periodic solution is investigated.

Positive Almost Periodic Solution for Impulsive Nicholson's Blowflies Model with Linear Harvesting Term on the Bounded Domain

Positive Almost Periodic Solution for Impulsive Nicholson's Blowflies Model with Linear Harvesting Term on the Bounded Domain

Existence and exponential stability of the unique positive almost periodic solution for impulsive Nicholson’s blowflies model with linear harvesting term

In this paper, we study an impulsive almost periodic Nicholson’s blowflies model with linear harvesting term. Sufficient conditions are established for the existence of unique almost periodic positive solution by means of the contraction mapping principle. By applying the Liapunov functional, we derive the exponential stability of the almost periodic positive solution. Under the impulsive almost periodic case, we solve an open problem proposed by Berezansky (2010).

Global Exponential Stability of Periodic Solutions for a Nicholson’s Blowflies Model with a Linear Harvesting Term

In this paper, we study a generalized Nicholson's blowflies model with a line ar harvesting term, which is defined on the positive function space. Under proper conditions, we employ a novel proof to establish some criteria for the existence and global exponential stability of positive periodic solutions for this model. Moreover , we give an example and its numerical simulations to illustrate our main results.

Pseudo almost periodic dynamics of delay Nicholson's blowflies model with a linear harvesting term

In this paper, we investigate a class of delay Nicholson's blowflies model with a linear harvesting term, new criteria for the existence and convergence dynamics of positive pseudo almost periodic solutions are established by using the fixed point method and the properties of pseudo almost periodic function, together with constructing suitable Lyapunov functionals. The obtained results extend previously known results, and they also partially answer an open problem proposed by L. Berezansky et al. Finally, an example with simulation is presented to demonstrate the effectiveness of theoretical results. Copyright © 2014 John Wiley & Sons, Ltd.

New results on almost periodic solutions for a Nicholson's blowflies model with a linear harvesting term

In this paper, we study the global dynamic behavior of a non-autonomous delayed Nicholson's blowflies model with a linear harvesting term. Under proper con- ditions, we employ a novel argument to establish a criterion on the global exponential stability of positive almost periodic solutions for the model. Moreover, we also provide a numerical example to support the theoretical results.

Existence and exponential convergence of almost periodic positive solution for Nicholson's blowflies discrete model with linear harvesting term

AbstractThis paper deals with a discrete Nicholson's blowflies model with linear harvesting term. By using contraction mapping fixed point theorem, we obtain sufficient conditions for the existence of unique almost periodic positive solution. Moreover, we investigate exponential convergence of the almost periodic positive solution by Lyapunov functional. Copyright © 2013 John Wiley & Sons, Ltd.

Global dynamic behaviors for a delayed Nicholson's blowflies model with a linear harvesting term

In this paper, we study a generalized Nicholson’s blowflies model with a linear harvesting term, which is defined on the positive function space. Under proper conditions, we employ a novel proof to establish some criteria for the global dynamic behaviors on existence of positive solutions, permanence, and exponential stability of the zero equilibrium point for this model. Moreover, we give two examples and their numerical simulations to illustrate our main results.

The positive periodic solution for Nicholson-type delay system with linear harvesting terms

This paper is concerned with a class of Nicholson-type delay system with linear harvesting terms. By applying the method of coincidence degree and Lyapunov functional, some criteria are established for the global existence and uniqueness of positive periodic solutions of the system. Moreover, an example is employed to illustrate the main results.

Almost periodic dynamics of a discrete Nicholson’s blowflies model involving a linear harvesting term

We consider a discrete Nicholson’s blowflies model involving a linear harvesting term. Under appropriate assumptions, sufficient conditions are established for the existence and exponential convergence of positive almost periodic solutions of this model. To expose the effectiveness of the main theorems, we support our result by a numerical example. MSC: 39A11