Almost Periodic Sequence in a Discrete Logistic Equation

This paper is concerned with an almost periodic discrete logistic equation. By using thecontinuation theorem of Mawhin’s coincidence degree theory, this paper investigates theexistence and stability of a unique positive almost periodic sequence solution of the equation.These results generalize and improve the previous works, and they are easy to check. An examplewith a numerical simulation is also given to demonstrate the effectiveness of the results in this paper.