A stochastic SIRI epidemic model with Lévy noise

Some diseases such as herpes, bovine and human tuberculosis exhibit relapse in which the recovered individuals do not acquit permanent immunity but return to infectious class. Such diseases are modeled by SIRI models. In this paper, we establish the existence of a unique global positive solution for a stochastic epidemic model with relapse and jumps. We also investigate the dynamic properties of the solution around both disease-free and endemic equilibria points of the deterministic model. Furthermore, we present some numerical results to support the theoretical work

A stochastic SIRI epidemic model with relapse and media coverage

This work is devoted to investigate the existence and uniqueness of a global positive solution for a stochastic epidemic model with relapse and media coverage. We also study the dynamical properties of the solution around both disease-free and endemic equilibria points of the deterministic model. Furthermore, we show the existence of a stationary distribution. Numerical simulations are presented to confirm the theoretical results.Fondo Europeo de Desarrollo RegionalMinisterio de Economía y CompetitividadConsejería de Innovación, Ciencia y Empresa (Junta de Andalucía)Faculty of Sciences (Ibn Tofail University

A comparison between random and stochastic modeling for a SIR model

In this article, a random and a stochastic version of a SIR nonautonomous model previously introduced in P. E. Kloeden and V. S. Kozyakin, The dynamics of epidemiological systems with nonautonomous and random coefficients, MESA: Mathematics in Engineering, Science and Aerospace, vol. 2, no. 2 (2011).is considered. In particular, the existence of a random attractor is proved for the random model and the persistence of the disease is analyzed as well. In the stochastic case, we consider some environmental effect on the model, in fact, we assume that one of the coefficients of the system is affected by some stochastic perturbation, and analyze the asymptotic behavior of the solutions. The paper is concluded with a comparison between the two different modeling strategies.Fondo Europeo de Desarrollo RegionalMinisterio de Economía y CompetitividadJunta de Andalucí

VII Workshop on Computational Data Analysis and Numerical Methods

Dear participants, colleagues and friends, it is a great honour and a privilege to give you all a warmest welcome to the VII Workshop on Computational Data Analysis and Numerical Methods (VII WCDANM), which is organized by the Polytechnic Institute of Tomar (located in the center of Portugal in the beautiful city of Tomar), with the support of some Portuguese research centers, hoping that the final result may exceed the expectations of the participants, sponsors and organizers. Due to the worldwide pandemic caused by the COVID-19 virus, for the first time, this meeting will be transmitted through videoconference (webminar). Nevertheless, the important contributions of Adélia Sequeira (University of Lisbon, Portugal), Sílvia Barbeiro (University of Coimbra, Portugal), Malay Banerjee (Indian Instituto of Techonology Kampur, India) and Indranhil Ghosh (University of North Carolina at Wilmington, USA) as Plenary Speakers, the high scientific level of oral and poster presentations and an active audience will certainly contribute to the success of the meeting. Part of the accepted papers (theoretical and applied) by the VII WCDANM involve big data, data mining, data science and machine learning, in different areas of research, some giving emphasis to coronavirus. A very special thanks to this small, yet important, scientific community, since this event could not be possible without any of these essential and complementary parts. This year, there is also the possibility to attend a course on ŞModeling Partial Least Squares Structural Equations (PLS-SEM) using SmartPLSŤ given by Christian M. Ringle ((TUHH) Hamburg University of Technology, Germany), who kindly and readily accepted our invitation and to whom we are very grateful. A special acknowledgment is also due to the Members of the Executive, Scientific and Organizing Committees. In particular, Anuj Mubayi (Arizona StateUniversity,USA),MilanStehlík(Johannes KeplerUniversity,Austria), AnaNata,IsabelPitacasandManuelaFernandes(hostsfromthePolytechnic Institute of Tomar, Portugal), A. Manuela Gonçalves (University of Minho, Portugal), Teresa Oliveira (Aberta University) and Fernando Carapau (University of Évora, Portugal) have been relentless in search for a balanced, broad and interesting program, having achieved an excellent result. For the third consecutive year, the Journal of Applied Statistics (Taylor & Francis) and Neural Computing and Applications (Springer) are also associated to the event, being extremely important in the dissemination of the scientific results achieved at the meeting. Given the above, it is a pleasure to be ”together” with all of you in this web conference, hoping it may provide an intellectual stimulus and an opportunity for the scientific community to jointly work and disseminate scientific research, namely presenting approaches that may contribute to the solution of the pandemic we are experiencing in the expectation that the present might be past in the near future