Parshad, Rana D.; Upadhyay, Ranjit Kumar; Thakur, Nilesh Kumar On the well posedness and further regularity of a diffusive three species aquatic model. (English) Zbl 1252.35153 Appl. Math. Sci., Ruse 6, No. 13-16, 597-619 (2012). Summary: We consider Upadhay’s three species aquatic food chain model, with the inclusion of spatial spread. This is a well established food chain model for the interaction of three given aquatic species. It exhibits rich dynamical behavior, including chaos. We prove the existence of a global weak solution to the diffusive system, followed by existence of local mild and strong solution. MSC: 35K51 Initial-boundary value problems for second-order parabolic systems 35K58 Semilinear parabolic equations 35A01 Existence problems for PDEs: global existence, local existence, non-existence 35D30 Weak solutions to PDEs 35D35 Strong solutions to PDEs 92D25 Population dynamics (general) Keywords:three species food chain models; spatial spread PDFBibTeX XMLCite \textit{R. D. Parshad} et al., Appl. Math. Sci., Ruse 6, No. 13--16, 597--619 (2012; Zbl 1252.35153) Full Text: Link