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math.AP2026
Sharp logarithmic corrections for a strong-weak Lotka-Volterra competition system
Hongjun Guo, Dongyuan Xiao, Maolin Zhou
We study the one-dimensional strong-weak Lotka-Volterra competition-diffusion system \[ u_t=u_{xx}+u(1-u-av),\qquad v_t=dv_{xx}+rv(1-v-bu), \] with compactly supported initial data…
math.AP2026
Propagation Dynamics for Multidimensional Nonlocal Diffusion Equations: A General Freidlin-Gärtner Formula
Hongjun Guo, Wan-Tong Li, Biao Liu
In this paper, we develop a unified geometric framework for the propagation dynamics of multidimensional nonlocal Fisher--KPP equations with asymmetric dispersal. In dimensions $N\…