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On Families of Bowen - Series-Like Maps for Surface Groups
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Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Los, Jérôme ;
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We review some recent results on a class of maps, called Bowen - Series-like maps, obtained from a class of group presentations for surface groups. These maps are piecewise homeomorphisms of the circle with finitely many discontinuities. [...]
2023 - 10.1134/S1560354723040093
Regular and Chaotic Dynamics, Vol. 28, Issue 4-5 (October 2023) , p. 659-667
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10 p, 2.1 MB |
Saddle-node bifurcation of limit cycles in an epidemic model with two levels of awareness
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Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Saldaña, Joan (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
In this paper we study the appearance of bifurcations of limit cycles in an epidemic model with two types of aware individuals. All the transition rates are constant except for the alerting decay rate of the most aware individuals and the rate of creation of the less aware individuals, which depend on the disease prevalence in a non-linear way. [...]
2023 - 10.1016/j.physd.2023.133714
Physica D. Nonlinear phenomena, Vol. 448 (June 2023) , art. 133714
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18 p, 409.4 KB |
Forward triplets and topological entropy on trees
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Alsedà i Soler, Lluís (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ;
Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Mañosas Capellades, Francesc (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We provide a new and very simple criterion of positive topological entropy for tree maps. We prove that a tree map f has positive entropy if and only if some iterate fk has a periodic orbit with three aligned points consecutive in time, that is, a triplet (a,b,c) such that fk(a)=b, fk(b)=c and b belongs to the interior of the unique interval connecting a and c (a forward triplet of fk). [...]
2022 - 10.3934/dcds.2021131
Discrete and continuous dynamical systems. Series A, Vol. 42, Issue 2 (February 2022) , p. 623-641
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17 p, 1.3 MB |
Robustness of behaviorally induced oscillations in epidemic models under a low rate of imported cases
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Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Rojas, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Saldaña, Joan (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
This paper is concerned with the robustness of the sustained oscillations predicted by an epidemic ODE model defined on contact networks. The model incorporates the spread of awareness among individuals and, moreover, a small inflow of imported cases. [...]
2020 - 10.1103/PhysRevE.102.052301
Physical Review E, Vol. 102, Issue 5 (November 2020) , art. 52301
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12 p, 1.2 MB |
A multilayer temporal network model for STD spreading accounting for permanent and casual partners
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Vajdi, Aram (Kansas State University. Department of Electrical and Computer Engineering (USA)) ;
Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Saldaña, Joan (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Scoglio, Caterina (Kansas State University. Department of Electrical and Computer Engineering (USA))
Sexually transmitted diseases (STD) modeling has used contact networks to study the spreading of pathogens. Recent findings have stressed the increasing role of casual partners, often enabled by online dating applications. [...]
2020 - 10.1038/s41598-020-60790-0
Scientific reports, Vol. 10 (March 2020) , art. 3846
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15 p, 876.8 KB |
Tuning the overlap and the cross-layer correlations in two-layer networks : application to an SIR model with awareness dissemination
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Juher, David (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística) ;
Saldaña, Joan (Universitat de Girona. Departament d'Informàtica, Matemàtica Aplicada i Estadística)
We study the properties of the potential overlap between two networks A,B sharing the same set of N nodes (a two-layer network) whose respective degree distributions p_A(k), p_B(k) are given. Defining the overlap coefficient as the Jaccard index, we prove that is very close to 0 when A and B are random and independently generated. [...]
2018 - 10.1103/PhysRevE.97.032303
Physical review E, Vol. 97, issue 3 (March 2018) , art. 32303
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