An almost periodic solution for an impulsive two‐species logarithmic population model with time‐varying delay

In this paper, the existence of an almost periodic solution for an impulsive two‐species logarithmic population model with time‐varying delay $\{\begin{array}{c}{\dot{x}}_1\left(t\right)=x_1\left(t\right)[r_1\left(t\right)-a_{11}\left(t\right)ln{x}_1\left(t\right)-a_{12}\left(t\right)ln{x}_2(t-\tau \left(t\right))]\text{,}t\ne t_k\text{,}\hfill \\ {\dot{x}}_2\left(t\right)=x_2\left(t\right)[r_2\left(t\right)-a_{21}\left(t\right)ln{x}_1(t-\tau \left(t\right))-a_{22}\left(t\right)ln{x}_2\left(t\right)]\text{,}t\ne t_k\text{,}\hfill \\ x_1\left(t_k^{+}\right)={\left[x_1\left(t_k\right)\right]}^{1+h_{1k}}{\delta }_{1k}\text{,}k\in N\hfill \\ x_2\left(t_k^{+}\right)={\left[x_2\left(t_k\right)\right]}^{1+h_{2k}}{\delta }_{2k}\text{,}k\in N\hfill \end{array}$ is established.