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On principal eigenvalues of linear time-periodic parabolic systems: symmetric mutation case

On principal eigenvalues of linear time-periodic parabolic systems: symmetric mutation case

The paper is concerned with the effect of the spatio-temporal heterogeneity on the principal eigenvalue of some linear time-periodic parabolic system. Various asymptotic behaviors of the principal eigenvalue and its monotonicity, as a function of the diffusion rate and frequency, are first derived. In particular, some singular behaviors of the …