Parameter regimes and symmetric monotonic positive initial data ensure positivity for all time and pointwise convergence to a constant steady state outside the origin in a diffusion model with Dirac reaction term, via Laplace transform arguments.
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Positivity and long-term behaviour of a diffusion model with measure-valued nonlocal reaction term
Parameter regimes and symmetric monotonic positive initial data ensure positivity for all time and pointwise convergence to a constant steady state outside the origin in a diffusion model with Dirac reaction term, via Laplace transform arguments.