Non-local dispersal equations with almost periodic dependence. II. Asymptotic dynamics of Fisher-KPP equations

This series of two papers is devoted to the study principal spectral theory nonlocal dispersal operators with almost periodic dependence and asymptotic dynamics nonlinear equations dependence. In first part series, we investigated from aspects: top Lyapunov exponents generalized eigenvalues. Among others, provided various characterizations eigenvalues, established relations between them, studied effect time space variations on them. this second applying developed in part. particular, existence, uniqueness, stability strictly positive solutions Fisher KPP Using properties Fisher-KPP equations, also establish a new property eigenvalues paper.