M. De la Sen
University of the Basque Country
Adaptive controlEngineeringControl engineeringMathematical analysisNonlinear systemEpidemic modelExponential stabilityApplied mathematicsMathematicsBounded functionStability (probability)Computer scienceControllabilityFixed pointControl theoryLinear systemDiscretizationControl theoryTransfer functionSampling (statistics)
546Publications
39H-index
3,865Citations
Publications 523
Newest
#1M. De la Sen (UPV/EHU: University of the Basque Country)H-Index: 39
#2Asier IbeasH-Index: 24
Last. A.J. Garrido (UPV/EHU: University of the Basque Country)H-Index: 5
view all 3 authors...
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#1M. De la SenH-Index: 39
Last. Asier IbeasH-Index: 24
view all 3 authors...
A new discrete Susceptible-Exposed-Infectious-Recovered (SEIR) epidemic model is proposed, and its properties of non-negativity and (both local and global) asymptotic stability of the solution sequence vector on the first orthant of the state-space are discussed. The calculation of the disease-free and the endemic equilibrium points is also performed. The model has the following main characteristics: (a) the exposed subpopulation is infective, as it is the infectious one, but their respective tr...
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#1M. Rostamian Delavar (University of Bojnord)H-Index: 5
#2Silvestru Sever Dragomir (VU: Victoria University, Australia)H-Index: 10
Last. M. De la Sen (UPV/EHU: University of the Basque Country)H-Index: 39
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Some sharp trapezoid and midpoint type inequalities for Lipschitzian bifunctions defined on a closed disk in Euclidean sense are obtained by the use of polar coordinates. Also, bifunctions whose partial derivative is Lipschitzian are considered. A new presentation of Hermite-Hadamard inequality for convex function defined on a closed disk and its reverse are given. Furthermore, two mappings and are considered to give some generalized Hermite-Hadamard type inequalities in the case that considered...
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#1M. De la SenH-Index: 39
#2Asier Ibeas (Autonomous University of Barcelona)H-Index: 24
In this paper, we study the nonnegativity and stability properties of the solutions of a newly proposed extended SEIR epidemic model, the so-called SE(Is)(Ih)AR epidemic model which might be of potential interest in the characterization and control of the COVID-19 pandemic evolution. The proposed model incorporates both asymptomatic infectious and hospitalized infectious subpopulations to the standard infectious subpopulation of the classical SEIR model. In parallel, it also incorporates feedbac...
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#1M. De la SenH-Index: 39
#2A.J. GarridoH-Index: 5
Last. Asier IbeasH-Index: 24
view all 3 authors...
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#1Mohadeseh Paknazar (Farhangian University)H-Index: 2
#2M. De la Sen (UPV/EHU: University of the Basque Country)H-Index: 39
Abstract By using current methods of best proximity point theory we can not establish and prove best proximity point results in modular metric spaces. For this purpose, we introduce the notion of P D − modular metric spaces and then we establish some best proximity point theorems for certain new contraction mappings. As an application of the obtained results we establish some best proximity point results in fuzzy metric spaces. Examples are furnished to demonstrate the validity of the obtained r...
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#1V. Pragadeeswarar (Amrita Vishwa Vidyapeetham)H-Index: 1
In the present paper, we focus our attention on the existence of the fixed point for the sum of the cyclic contraction and the noncyclic accretive operator. Also, we study the best proximity point for the sum of two non-self-mappings. Moreover, we provide the existence of the best proximity point for the cyclic contraction through the notion of the nonlinear - set contraction. Finally, we give the existence of the best proximity point for the sum of the nonlinear - set contraction mapping and pa...
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#1V. PragadeeswararH-Index: 1
#2R. GopiH-Index: 2
Last. Stojan RadenovićH-Index: 47
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The purpose of this paper is to introduce and analyze a new idea of proximally compatible mappings and we extend some results of Jungck via proximally compatible mappings. Furthermore, we obtain common best proximity point theorems for proximally compatible mappings through two different ways of construction of sequences. In addition, we provide an example to support our main result.
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#1I. Nino (UPV/EHU: University of the Basque Country)H-Index: 1
#2M. Fernandez (UPV/EHU: University of the Basque Country)H-Index: 1
Last. Asier Ibeas (Autonomous University of Barcelona)H-Index: 24
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This paper proposes, studies and discusses in some detail discrete epidemic models of SEIADR (susceptible-exposed-symptomatic infectious- asymptomatic infectious-recovered, or immune- dead- infectious-recovered) and SEIR (susceptible-exposed-symptomatic infectious-recovered) continuous in time models. The first one incorporates the asymptomatic infectious and the lying infective bodies as infectious extra populations on the standard populations of SEIR type models. Several controls are proposed ...
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