Ontology type: schema:ScholarlyArticle
2019-03-07
AUTHORSKunquan Lan, Wei Lin
ABSTRACTIn this paper, we investigate the dynamics of population inhabiting a favorable environment surrounded by a region where survival is impossible. We use a parabolic partial differential equation with nonlinearity changing signs to describe the dynamics. By using a recent result on the existence of nonzero fixed point for r-nowhere normal-outward compact maps, we establish new results on existence of nonzero nonnegative or positive steady-state solutions of such boundary value problems. Additionally, we obtain the convergence of positive solutions of such parabolic boundary value problems in the Banach space C1, which is different from the previous results that considered weak convergence or uniform convergence. More... »
PAGES1-22
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DOIhttp://dx.doi.org/10.1007/s10884-019-09742-5
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