Classical solutions to a pursuit‐evasion model with prey‐taxis and indirect predator‐taxis
Sign Up to like & getrecommendations! Published in 2024 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.10536
Abstract: This paper investigates a pursuit‐evasion model with prey‐taxis and indirect predator‐taxis ut=Δu−χ∇·(u∇v)+λ1u−μ1u2+a1uF(v),vt=Δv+ξ∇·(v∇w)+λ2v−μ2v2−a2uF(v),wt=Δw−w+u,$$ \left\{\begin{array}{l}{u}_t=\Delta u-\chi \nabla \cdotp \left(u\nabla v\right)+{\lambda}_1u-{\mu}_1{u}^2+{a}_1 uF(v),\\ {}{v}_t=\Delta v+\xi \nabla \cdotp \left(v\nabla w\right)+{\lambda}_2v-{\mu}_2{v}^2-{a}_2 uF(v),\\ {}{w}_t=\Delta w-w+u,\end{array}\right. $$ in a bounded domain Ω⊂ℝn,n≥2$$ \Omega… read more here.
Keywords: pursuit evasion; amp; evasion model; prey taxis ... See more keywords