摘要：In this paper, we consider a logarithmic populationmodel with piecewise constant arguments. First, we study theuniqueness and existence range of the equilibrium point of themodel. After that, by using the linearized stability theorem, thesemicycle property and a suitable Lyapunov function, somesufficient conditions are obtained for the local and globalasymptotic stability of the equilibrium point and the dampedoscillation of positive solutions of the model. Finally, someexamples with computer simulations are given to illustrate themain results in this paper.
关键词：Logarithmic population model; Stability;Boundedness; Semicycle; Damped oscillation
