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math.AP2025
Decoding the spatial spread of cyanobacterial blooms in an epilimnion
Jacob Serpico, Kyunghan Choi, B. A. Zambrano-Luna +2
Cyanobacterial blooms (CBs) pose significant global challenges due to their harmful toxins and socio-economic impacts, with nutrient availability playing a key role in their growth…
math.AP2025
Existence and asymptotic stability of a generic Lotka-Volterra system with nonlinear spatially heterogeneous cross-diffusion
Tianxu Wang, Jiwoon Sim, Hao Wang
This article considers a class of Lotka-Volterra systems with multiple nonlinear cross-diffusion, commonly known as prey-taxis models. The existence and stability of classic soluti…