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math.AP2020★ 1 cited
Asymptotic stability of spatial homogeneity in a haptotxis model for oncolytic virotherapy
Youshan Tao, Michael Winkler
This work considers a model for oncolytic virotherapy, as given by the reaction-diffusion-taxis system $$ \left\{ \begin{array}{l} u_t = Δu - \nabla \cdot (u\nabla v)-ρuz, \\[1mm]…
math.AP2020
Existence theory and qualitative analysis for a fully cross-diffusive predator-prey system
Youshan Tao, Michael Winkler
This manuscript considers a Neumann initial-boundary value problem for the predator-prey system $$ \left\{ \begin{array}{l} u_t = D_1 u_{xx} - χ_1 (uv_x)_x + u(λ_1-u+a_1 v), \\[1mm…