Positive Solutions of Elliptic Boundary Value Problems and Applications to Population Dynamics View Full Text


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Article Info

DATE

2019-03-07

AUTHORS

Kunquan Lan, Wei Lin

ABSTRACT

In 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... »

PAGES

1-22

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10884-019-09742-5

DOI

http://dx.doi.org/10.1007/s10884-019-09742-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112609351


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144 https://www.grid.ac/institutes/grid.8547.e schema:alternateName Fudan University
145 schema:name School of Mathematical Sciences, SCMS, and Centre for Computational Systems Biology, Fudan University, 200433, Shanghai, People’s Republic of China
146 rdf:type schema:Organization
 




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