Pseudo almost periodic solutions for a Lasota–Wazewska model with an oscillating death rate

Abstract

a b s t r a c tThis paper is concerned with a Lasota-Wazewska model with an oscillating death rate. Under proper conditions, we employ a novel argument to establish a criterion on the existence and stability of positive pseudo almost periodic solutions. The obtained result complements with some existing ones.

Pseudo-almost periodic solutions for first-order neutral differential equations

“…On the other hand, the global exponential stability of pseudo-almost periodic solutions plays a key role in characterizing the dynamical behavior of biological and ecological dynamical systems since the exponential convergence rate can be unveiled [12][13][14][15][16][17][18][19][20]. However, to the best of our knowledge, no such work has been performed on the dynamic analysis of pseudo-almost periodic solution of first-order neutral differential equations with time-varying delays and coefficients.…”

Dynamic behaviors for a delay Lasota–Wazewska model with feedback control on time scales

“…which described the survival of red blood cells in animals. Some generalized models have been discussed by many authors; see [24][25][26][27][28]. Because of the various effects of the environmental factors in real life environment (e.g.…”

“…where t ∈ T, T is an almost periodic time scale, x(t) denotes the number of red blood cells at time t. τ j (t) is the time required to produce a red blood cell. u(t) is the control variable at time t. About more details of the system (1.2), we can refer [23][24][25][26].…”

Impulsive Delayed Lasota–Wazewska Fractional Models: Global Stability of Integral Manifolds

“…The well known Lasota-Wazewska model seen in Equation (1) was extended and generalized by many authors, see, for example, refs. [3][4][5][6][7][8], including some recent publications on the topic [9][10][11][12][13]. This model can be also considered as one of the motivations to the development of the theory of delay differential equations, since delays are often considered in the hematopoiesis processes.…”