Dirac concentrations in Lotka-Volterra parabolic PDEs
From MaRDI portal
Publication:3627561
DOI10.1512/iumj.2008.57.3398zbMath1172.35005arXiv0708.3720OpenAlexW2022119271WikidataQ60502837 ScholiaQ60502837MaRDI QIDQ3627561
Publication date: 13 May 2009
Published in: Indiana University Mathematics Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0708.3720
Problems related to evolution (92D15) Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
Related Items
Dirac concentrations in a chemostat model of adaptive evolution, A Hamilton-Jacobi approach to evolution of dispersal, Dynamics of Dirac concentrations in the evolution of quantitative alleles with sexual reproduction, Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility, A class of Hamilton-Jacobi equations with constraint: uniqueness and constructive approach, Selection-mutation dynamics with asymmetrical reproduction kernels, Mass concentration in a nonlocal model of clonal selection, Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system, Dynamics of concentration in a population model structured by age and a phenotypical trait, Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis, On the Uniqueness for One-Dimensional Constrained Hamilton-Jacobi Equations, Thin Front Limit of an Integro-differential Fisher-KPP Equation with Fat-Tailed Kernels, Stability of Dirac concentrations in an integro-PDE model for evolution of dispersal, Super-linear spreading in local and non-local cane toads equations, An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics, Evolution of species trait through resource competition, Well-posedness for constrained Hamilton-Jacobi equations, Asymptotic analysis of a selection model with space, Collective motion driven by nutrient consumption, Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations, Asymptotic dynamics in populations structured by sensitivity to global warming and habitat shrinking, Adaptation to a heterogeneous patchy environment with non-local dispersion, Adaptation of a quantitative trait to a changing environment: new analytical insights on the asexual and infinitesimal sexual models, A Hamilton–Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments, The best of both worlds: combining population genetic and quantitative genetic models, A homogenization approach for the motion of motor proteins, On a non-local selection–mutation model with a gradient flow structure, Existence, uniqueness and ergodicity for the centered Fleming-Viot process, Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme, Selection-mutation dynamics with spatial dependence, Concentration profiles in FitzHugh-Nagumo neural networks: a Hopf-Cole approach, Long time evolution of populations under selection and Vanishing mutations, Uniqueness of the viscosity solution of a constrained Hamilton-Jacobi equation, Rare Mutations Limit of a Steady State Dispersal Evolution Model, Steady state concentration for a phenotypic structured problem modeling the evolutionary epidemiology of spore producing pathogens, Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks, Adaptation in General Temporally Changing Environments, The mathematics of mechanobiology and cell signaling. Abstracts from the workshop held February 25--March 3, 2018, An integro-PDE model for evolution of random dispersal, Dynamics of adaptation in an anisotropic phenotype-fitness landscape, A Hamilton-Jacobi method to describe the evolutionary equilibria in heterogeneous environments and with non-vanishing effects of mutations, Evolutionary dynamics of phenotype-structured populations: from individual-level mechanisms to population-level consequences, Direct competition results from strong competition for limited resource, Concentration phenomenon in some non-local equation, The impact of cell density and mutations in a model of multidrug resistance in solid tumors, Time fluctuations in a population model of adaptive dynamics, Concentration in the Nonlocal Fisher Equation: the Hamilton-Jacobi Limit, Survival criterion for a population subject to selection and mutations; application to temporally piecewise constant environments, Long Time Evolutionary Dynamics of Phenotypically Structured Populations in Time-Periodic Environments, Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector, Singular limits for models of selection and mutations with heavy-tailed mutation distribution, Adaptation in a heterogeneous environment I: persistence versus extinction, Clamping and Synchronization in the Strongly Coupled FitzHugh--Nagumo Model, Dissecting the dynamics of epigenetic changes in phenotype-structured populations exposed to fluctuating environments, Measure-valued solutions and the phenomenon of blow-down in logarithmic diffusion, Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model, Modeling the Emergence of Phenotypic Heterogeneity in Vascularized Tumors, Dirac Mass Dynamics in Multidimensional Nonlocal Parabolic Equations, Concentration phenomena in an integro-PDE model for evolution of conditional dispersal, Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation, A probabilistic approach to Dirac concentration in nonlocal models of adaptation with several resources, A structured population model of clonal selection in acute leukemias with multiple maturation stages, The impact of competition between cancer cells and healthy cells on optimal drug delivery, Entropy Satisfying Schemes for Computing Selection Dynamics in Competitive Interactions, Time-asymptotic convergence rates towards the discrete evolutionary stable distribution, Singular measure as principal eigenfunction of some nonlocal operators, Singular Limits for Reaction-Diffusion Equations with Fractional Laplacian and Local or Nonlocal Nonlinearity, Uniqueness in a class of Hamilton-Jacobi equations with constraints, Modeling the effects of space structure and combination therapies on phenotypic heterogeneity and drug resistance in solid tumors, Evolutionary dynamics of complex traits in sexual populations in a heterogeneous environment: how normal?, Hamilton-Jacobi approach for dynamic population models
