Calderón, Calixto P.; Kwembe, Tor A. Dispersal models. (English) Zbl 0795.92029 Rev. Unión Mat. Argent. 37, No. 3-4, 212-229 (1991). Some models of insect dispersal are presented. In the particular case \[ \partial u/\partial t=-D_ 2\Delta^ 4u+D_ 0\Delta\bigl((u/u_ 0)^ m\Delta u\bigr), \] where \(u\) represents the population density, \(D_ 0\), \(u_ 0\), \(D_ 2\), \(m\) are positive constants \((u_ 0\) is a reference concentration, \(D_ 0\) is a diffusion coefficient for \(u=u_ 0\), \(D_ 2\) is a measure of the long range effects), the authors prove the existence and uniqueness of weak global solutions, with the initial condition \(u(x,0) = g(x)\), \(g(x) \in L^ m(R^ 2)\). Reviewer: I.Onciulescu (Iaşi) Cited in 10 Documents MSC: 92D40 Ecology 35Q92 PDEs in connection with biology, chemistry and other natural sciences 35G10 Initial value problems for linear higher-order PDEs 35K25 Higher-order parabolic equations 35K30 Initial value problems for higher-order parabolic equations Keywords:models of insect dispersal; existence; uniqueness; weak global solutions PDFBibTeX XMLCite \textit{C. P. Calderón} and \textit{T. A. Kwembe}, Rev. Unión Mat. Argent. 37, No. 3--4, 212--229 (1991; Zbl 0795.92029)