A nonlocal inhomogeneous dispersal process
Copyright policy )A nonlocal inhomogeneous dispersal process
This article in devoted to the study of the nonlocal dispersal equation ut(x,t)=∫RJ(x−yg/y) u(y,t)/g(y) dy − u(x,t)in R×[0,∞), and its stationary counterpart. We prove global existence for the initial value problem, and under suitable hypothesis on g and J , we prove that positive bounded stationary solutions exist. We also analyze the asymptotic behavior of the finite mass solutions as t→∞, showing that they converge locally to zero
- Pontifical Catholic University of Chile. Faculty of Arts Chile
- Max Planck Institute for Mathematics in the Sciences Germany
- Département Sciences sociales, agriculture et alimentation, espace et environnement France
- University of Chile Chile
- National Research Institute for Agriculture, Food and Environment France
steady states, [NLIN.NLIN-SI] Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], integro-differential equation, non-local initial value problem, Inhomogeneous dispersal, [STAT.CO] Statistics [stat]/Computation [stat.CO], 510, nonlocal dispersal, 03 Salud y bienestar, Positive solutions of integral equations, [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], [STAT.CO]Statistics [stat]/Computation [stat.CO], Integro-differential operators, EQUATIONS, Integral equation, bounded solution, [STAT.ME] Statistics [stat]/Methodology [stat.ME], TRAVELING-WAVES, asymptotic behaviour, Asymptotics of solutions to integral equations, DIFFUSION, non-local dispersal, Integro-partial differential equations, integral equation, positive solution, 03 Good Health and Well-being, [STAT.ME]Statistics [stat]/Methodology [stat.ME], Analysis, inhomogeneous dispersal, Nonlocal dispersal
steady states, [NLIN.NLIN-SI] Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], integro-differential equation, non-local initial value problem, Inhomogeneous dispersal, [STAT.CO] Statistics [stat]/Computation [stat.CO], 510, nonlocal dispersal, 03 Salud y bienestar, Positive solutions of integral equations, [NLIN.NLIN-SI]Nonlinear Sciences [physics]/Exactly Solvable and Integrable Systems [nlin.SI], [STAT.CO]Statistics [stat]/Computation [stat.CO], Integro-differential operators, EQUATIONS, Integral equation, bounded solution, [STAT.ME] Statistics [stat]/Methodology [stat.ME], TRAVELING-WAVES, asymptotic behaviour, Asymptotics of solutions to integral equations, DIFFUSION, non-local dispersal, Integro-partial differential equations, integral equation, positive solution, 03 Good Health and Well-being, [STAT.ME]Statistics [stat]/Methodology [stat.ME], Analysis, inhomogeneous dispersal, Nonlocal dispersal
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