Optimal control for nonlocal reactionâdiffusion system describing calcium dynamics in cardiac cell
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.7071
Abstract: The purpose of this paper is to introduce an optimal control for a nonlocal calcium dynamic model in a cardiac cell acting on ryanodine receptors. The optimal control problem is considered as a coupled nonlocal… read more here.
Keywords: optimal control; calcium; cardiac cell; nonlocal reaction ... See more keywords
A logistic type equation in RN with a nonlocal reaction term via bifurcation method
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124532
Abstract: Abstract We study the existence of positive solutions of a logistic equation in the entire space with a nonlocal reaction term. Mainly, we apply a bifurcation method and singular boundary equations to obtain a priori… read more here.
Keywords: term; nonlocal reaction; reaction term; equation ... See more keywords
Blowup of a free boundary problem with a nonlocal reaction term
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DOI: 10.1016/j.nonrwa.2017.11.007
Abstract: Abstract We consider a blowup problem of a reactionâdiffusion equation with a nonlocal reaction term. Such a problem arises in the description of the species inhabiting in a region surrounded by an inhospitable area with… read more here.
Keywords: nonlocal reaction; reaction term; reaction; problem ... See more keywords
Blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients
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DOI: 10.1080/00036811.2018.1515924
Abstract: ABSTRACT A blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients is investigated under null Dirichlet boundary conditions. Based on the Kaplan's method, comparison principle and modified differential inequality technique, we establish a blow-up… read more here.
Keywords: analysis nonlocal; analysis; nonlocal reaction; blow analysis ... See more keywords