Bolzano's Theorem

2007 ◽  
Keyword(s):  
Bolzano’S Theorem

scholarly journals MULTIVALUED VERSIONS OF A BOLZANO'S THEOREM

2011 ◽  
Vol 48 (3) ◽  
pp. 641-653
Author(s):  
Jong-Sook Bae ◽  
Seong-Hoon Cho
Keyword(s):  
Bolzano’S Theorem

A Bolzano's theorem in the new millennium

2002 ◽  
Vol 51 (4) ◽  
pp. 679-691 ◽  
Author(s):  
Claudio H. Morales
Keyword(s):  
Bolzano’S Theorem ◽  
New Millennium

Nonlocal singular elliptic system arising from the amoeba–bacteria population dynamics

2019 ◽  
Vol 21 (07) ◽  
pp. 1850051
Author(s):  
M. Delgado ◽  
I. B. M. Duarte ◽  
A. Suárez
Keyword(s):  
Growth Rate ◽  
Population Dynamics ◽  
Fixed Point ◽  
Elliptic System ◽  
Bifurcation Theory ◽  
Local System ◽  
Coexistence Region ◽  
Coexistence States ◽  
Bolzano’S Theorem

In this paper, we prove the existence of coexistence states for a nonlocal singular elliptic system that arises from the interaction between amoeba and bacteria populations. Our study is based on fixed point arguments using a version of the Bolzano’s theorem, for which we will first analyze a local system by bifurcation theory. Moreover, we study the behavior of the coexistence region obtained and we interpret our results according to the growth rate of both species.

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