Periodic Solution and Almost Periodic Solution of a Multispecies Logarithmic Population Model with Piecewise Constant Argument

Abstract

Combining the spectral radius of matrix with the generalized Banach fixed point theory and some properties of exponential contraction, we prove periodic solution and almost periodic solution of a neutral delay multispecies logarithmic population model with piecewise constant argument is existent and unique in appropriate conditions. The results have generalized and improved some results of literature on logarithmic population model. Finally, one example is given to illustrate our results.