The diffusive logistic model with a free boundary in heterogeneous environment

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Free boundary problems for the diffusive competition system in higher dimension with sign-changing coefficients (2015, methodology): “Inspired by [7, 33], we are going to construct the suitable upper solutions and apply Proposition 3.”
The spreading front of invasive species in favorable habitat or unfavorable habitat (2013, background): “After the first version of this paper was completed, we have learned a more closely related research in [34], where b(r)− d(r) is defined as m(x) in one space dimension and the authors provided a different way to understand the dynamics of invasive species by choosing the parameter D.”
Invasion by an inferior or superior competitor: A diffusive competition model with a free boundary in a heterogeneous environment (2015, background): “1, and we recommend [15] or [25] for a detailed proof.”
A diffusive logistic equation with a free boundary and sign-changing coefficient in time-periodic environment (2015, background): “1) has been studied by Zhou & Xiao [40] and Wang [36].”
The diffusive logistic equation with a free boundary and sign-changing coefficient (2014, background): “Recently, Zhou and Xiao [28] studied the following diffusive logistic model with a free boundary in the heterogeneous environment: ut − duxx = u(m(x)− u), t > 0, 0 < x < h(t), ux(t, 0) = 0, u(t, h(t)) = 0, t ≥ 0, h′(t) = −µux(t, h(t)), t ≥ 0, h(0) = h0, u(0, x) = u0(x), 0 ≤ x ≤ h0, where ”