Metasolutions of Parabolic Equations in Population Dynamics

From MaRDI portal
Publication:2949111

DOI10.1201/b19418zbMath1344.35001OpenAlexW4254494918MaRDI QIDQ2949111

Julián López-Gómez

Publication date: 7 October 2015

Full work available at URL: https://doi.org/10.1201/b19418




Related Items (54)

Population Dynamics in Hostile NeighborhoodsCoupled versus uncoupled blow-up rates in cooperative \(n\)-species logistic systemsPositive solutions for a Minkowski-curvature equation with indefinite weight and super-exponential nonlinearitySharp patterns of positive solutions for some weighted semilinear elliptic problemsLarge positive solutions to an elliptic system of competitive type with nonhomogeneous termsEffects of a degeneracy in a diffusive predator-prey model with Holling II functional responseUnnamed ItemUnnamed ItemThe influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficientLarge solutions for a semilinear elliptic problem with sign-changing weightsMultiple positive solutions to elliptic boundary blow-up problemsNonlocal effects in kernel-based Turing modelsThe existence of minimal large positive solutions for a class of nonlinear cooperative systemsSpatial versus non-spatial dynamics for diffusive Lotka-Volterra competing species modelsAn indefinite nonlinear problem in population dynamics: high multiplicity of positive solutionsA nonlocal operator breaking the Keller-Osserman conditionProtection zones in periodic-parabolic problemsUniqueness of large positive solutionsSubharmonic solutions for a class of predator-prey models with degenerate weights in periodic environmentsOn positive solutions for a class of quasilinear elliptic equationsDegeneracies versus reactions for some nonlocal dispersal equationsSharp profiles for diffusive logistic equation with spatial heterogeneityA unified boundary behavior of large solutions to Hessian equationsLarge solutions for cooperative logistic systems: existence and uniqueness in star-shaped domainsFine patterns for a nonlocal periodic-parabolic equation with spatial degeneracySharp patterns for some semilinear nonlocal dispersal equationsGlobal structure of the set of 1-node solutions in a class of degenerate diffusive logistic equationsLarge solutions for a nonhomogeneous quasilinear elliptic problemAsymptotic profiles for positive solutions of diffusive logistic equationsLocal diffusion vs. nonlocal dispersal in periodic logistic equationsA logistic type equation in \(\mathbb{R}^N\) with a nonlocal reaction term via bifurcation methodSharp blow-up profiles of positive solutions for a class of semilinear elliptic problemsGlobal dynamics of generalized logistic equationsRefuge versus dispersion in the logistic equationGlobal bifurcation diagrams of one node solutions in a class of degenerate boundary value problemsPolar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditionsPositive eigenfunctions for nonlocal dispersal problemsThe Picone identity: a device to get optimal uniqueness results and global dynamics in population dynamicsThe effects of degeneracy on nonlocal dispersal logistic equationsPositive solutions for diffusive logistic equation with refugeThe structure of the set of 1-node solutions of a class of degenerate BVP'sAsymptotic profiles in diffusive logistic equationsSharp profiles for periodic logistic equation with nonlocal dispersalExact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient termNon-local degenerate diffusion coefficients break down the components of positive solutionsTwo classes of nonlinear singular Dirichlet problems with natural growth: existence and asymptotic behaviorOptimal global and boundary asymptotic behavior of large solutions to the Monge-Ampère equationSpatial competition strategies: the case of two refugesExistence, uniqueness, and blow‐up rate of large solutions to equations involving the Laplacian on the half lineBoundary behavior of large solutions to the Monge-Ampère equation in a borderline case\(p\)-Laplacian diffusion coupled to logistic reaction: asymptotic behavior as \(p\) goes to 1. To the memory of Professor Ireneo Peral Alonso, a brilliant mathematician, excellent person and dear friendEffects of dispersal and spatial heterogeneity on nonlocal logistic equationsSemilinear elliptic equations on rough domainsGlobal bifurcation diagrams of positive solutions for a class of 1D superlinear indefinite problems*




This page was built for publication: Metasolutions of Parabolic Equations in Population Dynamics