{"title":"A new nonmonotone adaptive trust region line search method for unconstrained optimization","authors":"Xinyi Wang, Xianfeng Ding, Quan Qu","doi":"10.1186/s13362-020-00080-6","DOIUrl":"https://doi.org/10.1186/s13362-020-00080-6","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"10 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2020-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13362-020-00080-6","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65846194","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
János Karsai, Rita Csuma-Kovács, Ágnes Dánielisz, Zsuzsanna Molnár, János Dudás, Teodóra Borsos, Gergely Röst
{"title":"Modeling the transmission dynamics of varicella in Hungary","authors":"János Karsai, Rita Csuma-Kovács, Ágnes Dánielisz, Zsuzsanna Molnár, János Dudás, Teodóra Borsos, Gergely Röst","doi":"10.1186/s13362-020-00079-z","DOIUrl":"https://doi.org/10.1186/s13362-020-00079-z","url":null,"abstract":"Vaccines against varicella-zoster virus (VZV) are under introduction in Hungary into the routine vaccination schedule, hence it is important to understand the current transmission dynamics and to estimate the key parameters of the disease. Mathematical models can be greatly useful in advising public health policy decision making by comparing predictions for different scenarios. First we consider a simple compartmental model that includes key features of VZV such as latency and reactivation of the virus as zoster, and exogeneous boosting of immunity. After deriving the basic reproduction number $R_{0}$, the model is analysed mathematically and the threshold dynamics is proven: if $R_{0}leq 1$ then the virus will be eradicated, while if $R_{0}>1$ then an endemic equilibrium exists and the virus uniformly persists in the population. Then we extend the model to include seasonality, and fit it to monthly incidence data from Hungary. It is shown that besides the seasonality, the disease dynamics has intrinsic multi-annual periodicity. We also investigate the sensitivity of the model outputs to the system parameters and the underreporting ratio, and provide estimates for $R_{0}$.","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"11 4","pages":""},"PeriodicalIF":2.6,"publicationDate":"2020-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138512880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A projected primal-dual gradient optimal control method for deep reinforcement learning","authors":"Simon Gottschalk, M. Burger, M. Gerdts","doi":"10.1186/s13362-020-00075-3","DOIUrl":"https://doi.org/10.1186/s13362-020-00075-3","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":" ","pages":""},"PeriodicalIF":2.6,"publicationDate":"2020-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13362-020-00075-3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42084814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Cristina Lopes, Aldina Correia, Eliana Costa e Silva, Magda Monteiro, Rui Borges Lopes
{"title":"Inventory models with reverse logistics for assets acquisition in a liquefied petroleum gas company","authors":"Cristina Lopes, Aldina Correia, Eliana Costa e Silva, Magda Monteiro, Rui Borges Lopes","doi":"10.1186/s13362-020-00078-0","DOIUrl":"https://doi.org/10.1186/s13362-020-00078-0","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"10 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2020-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13362-020-00078-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65846145","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Uncertainty quantification with risk measures in production planning","authors":"S. Göttlich, S. Knapp","doi":"10.1186/s13362-020-00074-4","DOIUrl":"https://doi.org/10.1186/s13362-020-00074-4","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"10 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2020-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13362-020-00074-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65846063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
E. Bänsch, Andreas Luttmann, J. Montalvo-Urquizo, A. Schmidt, M. G. Villarreal-Marroquin
{"title":"Simulation and multi-objective optimization to improve the final shape and process efficiency of a laser-based material accumulation process","authors":"E. Bänsch, Andreas Luttmann, J. Montalvo-Urquizo, A. Schmidt, M. G. Villarreal-Marroquin","doi":"10.1186/s13362-020-0070-y","DOIUrl":"https://doi.org/10.1186/s13362-020-0070-y","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":" ","pages":""},"PeriodicalIF":2.6,"publicationDate":"2020-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13362-020-0070-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45751420","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Linear behavior in Covid19 epidemic as an effect of lockdown.","authors":"Dario Bambusi, Antonio Ponno","doi":"10.1186/s13362-020-00095-z","DOIUrl":"https://doi.org/10.1186/s13362-020-00095-z","url":null,"abstract":"<p><p>We propose a mechanism explaining the approximately linear growth of Covid19 world total cases as well as the slow linear decrease of the daily new cases (and daily deaths) observed (in average) in USA and Italy. In our explanation, we regard a given population (the whole world or a single nation) as composed by many sub-clusters which, after lockdown, evolve essentially independently. The interaction is modeled by the fact that the outbreak time of the epidemic in a sub-cluster is a random variable with probability density slowly varying in time. The explanation is independent of the law according to which the epidemic evolves in the single sub cluster.</p>","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"10 1","pages":"27"},"PeriodicalIF":2.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1186/s13362-020-00095-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38691325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Maximum Entropy Principle","authors":"V. D. Camiola, G. Mascali, V. Romano","doi":"10.1007/978-3-030-35993-5_2","DOIUrl":"https://doi.org/10.1007/978-3-030-35993-5_2","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"34 4 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76976788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Scientific Computing in Electrical Engineering","authors":"Jason Pesnell","doi":"10.1007/978-3-030-44101-2","DOIUrl":"https://doi.org/10.1007/978-3-030-44101-2","url":null,"abstract":"","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"1 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73091698","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Rinaldo M Colombo, Mauro Garavello, Francesca Marcellini, Elena Rossi
{"title":"An age and space structured SIR model describing the Covid-19 pandemic.","authors":"Rinaldo M Colombo, Mauro Garavello, Francesca Marcellini, Elena Rossi","doi":"10.1186/s13362-020-00090-4","DOIUrl":"10.1186/s13362-020-00090-4","url":null,"abstract":"<p><p>We present an epidemic model capable of describing key features of the Covid-19 pandemic. While capturing several qualitative properties of the virus spreading, it allows to compute the basic reproduction number, the number of deaths due to the virus and various other statistics. Numerical integrations are used to illustrate the adherence of the evolutions described by the model to specific well known real features of the present pandemic. In particular, this model is consistent with the well known relevance of quarantine, shows the dramatic role of care houses and accounts for the increase in the death toll when spatial movements are not constrained.</p><p><strong>Electronic supplementary material: </strong>The online version of this article (10.1186/s13362-020-00090-4) contains supplementary material.</p>","PeriodicalId":44012,"journal":{"name":"Journal of Mathematics in Industry","volume":"10 1","pages":"22"},"PeriodicalIF":2.6,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7414273/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"38295535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}