Bowong, S.; Emakoua, A.; Pardoux, E. A spatial stochastic epidemic model: law of large numbers and central limit theorem. (English) Zbl 07702260 Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 1, 31-105 (2023). MSC: 92D30 60F05 60H15 PDF BibTeX XML Cite \textit{S. Bowong} et al., Stoch. Partial Differ. Equ., Anal. Comput. 11, No. 1, 31--105 (2023; Zbl 07702260) Full Text: DOI arXiv
Jung, Seungpil; Kim, Jong-Hoon; Hwang, Seung-Sik; Choi, Junyoung; Lee, Woojoo Modified susceptible-exposed-infectious-recovered model for assessing the effectiveness of non-pharmaceutical interventions during the COVID-19 pandemic in Seoul. (English) Zbl 1503.92065 J. Theor. Biol. 557, Article ID 111329, 11 p. (2023). MSC: 92D30 PDF BibTeX XML Cite \textit{S. Jung} et al., J. Theor. Biol. 557, Article ID 111329, 11 p. (2023; Zbl 1503.92065) Full Text: DOI
Abou-Bakre, Abdellah; Boufis, Zakaria; El Maroufy, Hamid; Kernane, Tewfik Bayesian inference of a stochastic diffusion process for the dynamic of HIV in closed heterosexual population with simulations and application to Morocco case. (English) Zbl 1503.92060 Appl. Math. Modelling 106, 448-462 (2022). MSC: 92D30 60J70 PDF BibTeX XML Cite \textit{A. Abou-Bakre} et al., Appl. Math. Modelling 106, 448--462 (2022; Zbl 1503.92060) Full Text: DOI
Badings, Thom S.; Jansen, Nils; Junges, Sebastian; Stoelinga, Marielle; Volk, Matthias Sampling-based verification of CTMCs with uncertain rates. (English) Zbl 1514.68117 Shoham, Sharon (ed.) et al., Computer aided verification. 34th international conference, CAV 2022, Haifa, Israel, August 7–10, 2022. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 13372, 26-47 (2022). MSC: 68Q60 68Q87 PDF BibTeX XML Cite \textit{T. S. Badings} et al., Lect. Notes Comput. Sci. 13372, 26--47 (2022; Zbl 1514.68117) Full Text: DOI arXiv
Fong, Simon James; Marques, João Alexandre Lobo; Li, Gloria; Dey, Nilanjan; Crespo, Rubén González; Herrera-Viedma, Enrique; Gois, Francisco Nauber Bernardo; Neto, José Xavier Probabilistic forecasting model for the COVID-19 pandemic based on the composite Monte Carlo model integrated with deep learning and fuzzy system. (English) Zbl 1504.92131 Lobo Marques, Joao Alexandre (ed.) et al., Epidemic analytics for decision supports in COVID19 crisis. Cham: Springer. 83-102 (2022). MSC: 92D30 65C05 PDF BibTeX XML Cite \textit{S. J. Fong} et al., in: Epidemic analytics for decision supports in COVID19 crisis. Cham: Springer. 83--102 (2022; Zbl 1504.92131) Full Text: DOI
Narci, Romain; Delattre, Maud; Larédo, Catherine; Vergu, Elisabeta Inference in Gaussian state-space models with mixed effects for multiple epidemic dynamics. (English) Zbl 1500.92112 J. Math. Biol. 85, No. 4, Paper No. 40, 39 p. (2022). MSC: 92D30 60H30 PDF BibTeX XML Cite \textit{R. Narci} et al., J. Math. Biol. 85, No. 4, Paper No. 40, 39 p. (2022; Zbl 1500.92112) Full Text: DOI arXiv
Eck, Daniel J.; Morozova, Olga; Crawford, Forrest W. Randomization for the susceptibility effect of an infectious disease intervention. (English) Zbl 1500.92104 J. Math. Biol. 85, No. 4, Paper No. 37, 22 p. (2022). MSC: 92D30 92C60 PDF BibTeX XML Cite \textit{D. J. Eck} et al., J. Math. Biol. 85, No. 4, Paper No. 37, 22 p. (2022; Zbl 1500.92104) Full Text: DOI arXiv
Jahn, Beate; Friedrich, Sarah; Behnke, Joachim; Engel, Joachim; Garczarek, Ursula; Münnich, Ralf; Pauly, Markus; Wilhelm, Adalbert; Wolkenhauer, Olaf; Zwick, Markus; Siebert, Uwe; Friede, Tim On the role of data, statistics and decisions in a pandemic. (English) Zbl 1515.62109 AStA, Adv. Stat. Anal. 106, No. 3, 349-382 (2022). MSC: 62P10 PDF BibTeX XML Cite \textit{B. Jahn} et al., AStA, Adv. Stat. Anal. 106, No. 3, 349--382 (2022; Zbl 1515.62109) Full Text: DOI arXiv
Durrett, Rick; Yao, Dong Susceptible-infected epidemics on evolving graphs. (English) Zbl 1500.92103 Electron. J. Probab. 27, Paper No. 110, 66 p. (2022). Reviewer: Yilun Shang (Newcastle upon Tyne) MSC: 92D30 05C90 PDF BibTeX XML Cite \textit{R. Durrett} and \textit{D. Yao}, Electron. J. Probab. 27, Paper No. 110, 66 p. (2022; Zbl 1500.92103) Full Text: DOI arXiv Link
Schweinberger, Michael; Bomiriya, Rashmi P.; Babkin, Sergii A semiparametric Bayesian approach to epidemics, with application to the spread of the coronavirus MERS in South Korea in 2015. (English) Zbl 07590594 J. Nonparametric Stat. 34, No. 3, 628-662 (2022). MSC: 62Gxx 05C80 05C81 PDF BibTeX XML Cite \textit{M. Schweinberger} et al., J. Nonparametric Stat. 34, No. 3, 628--662 (2022; Zbl 07590594) Full Text: DOI arXiv
Pang, Guodong; Pardoux, Étienne Functional limit theorems for non-Markovian epidemic models. (English) Zbl 1498.92241 Ann. Appl. Probab. 32, No. 3, 1615-1665 (2022). MSC: 92D30 60F17 60F05 PDF BibTeX XML Cite \textit{G. Pang} and \textit{É. Pardoux}, Ann. Appl. Probab. 32, No. 3, 1615--1665 (2022; Zbl 1498.92241) Full Text: DOI arXiv
Zhang, Dongni; Britton, Tom Analysing the effect of test-and-trace strategy in an SIR epidemic model. (English) Zbl 1498.92281 Bull. Math. Biol. 84, No. 10, Paper No. 105, 32 p. (2022). MSC: 92D30 60J85 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{T. Britton}, Bull. Math. Biol. 84, No. 10, Paper No. 105, 32 p. (2022; Zbl 1498.92281) Full Text: DOI arXiv
Mandjes, Michel; Sollie, Birgit A numerical approach for evaluating the time-dependent distribution of a quasi birth-death process. (English) Zbl 1503.65025 Methodol. Comput. Appl. Probab. 24, No. 3, 1693-1715 (2022). MSC: 65C40 60J22 92D25 PDF BibTeX XML Cite \textit{M. Mandjes} and \textit{B. Sollie}, Methodol. Comput. Appl. Probab. 24, No. 3, 1693--1715 (2022; Zbl 1503.65025) Full Text: DOI
Lefèvre, Claude; Simon, Matthieu On the risk of ruin in a SIS type epidemic. (English) Zbl 1489.91223 Methodol. Comput. Appl. Probab. 24, No. 2, 939-961 (2022). MSC: 91G05 92D30 60J28 PDF BibTeX XML Cite \textit{C. Lefèvre} and \textit{M. Simon}, Methodol. Comput. Appl. Probab. 24, No. 2, 939--961 (2022; Zbl 1489.91223) Full Text: DOI
Jing, Xiaojie; Liu, Guirong; Jin, Zhen Stochastic dynamics of an SIS epidemic on networks. (English) Zbl 1491.92113 J. Math. Biol. 84, No. 6, Paper No. 50, 26 p. (2022). MSC: 92D30 92C42 60J28 PDF BibTeX XML Cite \textit{X. Jing} et al., J. Math. Biol. 84, No. 6, Paper No. 50, 26 p. (2022; Zbl 1491.92113) Full Text: DOI
Singh, Somya; Alajaji, Fady; Gharesifard, Bahman A finite memory interacting Pólya contagion network and its approximating dynamical systems. (English) Zbl 1490.92116 SIAM J. Control Optim. 60, No. 2, S347-S369 (2022). MSC: 92D30 60J20 PDF BibTeX XML Cite \textit{S. Singh} et al., SIAM J. Control Optim. 60, No. 2, S347--S369 (2022; Zbl 1490.92116) Full Text: DOI arXiv
Huang, Yunhan; Zhu, Quanyan Game-theoretic frameworks for epidemic spreading and human decision-making: a review. (English) Zbl 1489.91042 Dyn. Games Appl. 12, No. 1, 7-48 (2022). MSC: 91A25 91A15 92D30 91B06 91A80 91-02 PDF BibTeX XML Cite \textit{Y. Huang} and \textit{Q. Zhu}, Dyn. Games Appl. 12, No. 1, 7--48 (2022; Zbl 1489.91042) Full Text: DOI arXiv
Fibich, Gadi; Nordmann, Samuel Exact description of SIR-bass epidemics on 1D lattices. (English) Zbl 1481.92136 Discrete Contin. Dyn. Syst. 42, No. 2, 505-535 (2022). MSC: 92D30 60G99 PDF BibTeX XML Cite \textit{G. Fibich} and \textit{S. Nordmann}, Discrete Contin. Dyn. Syst. 42, No. 2, 505--535 (2022; Zbl 1481.92136) Full Text: DOI arXiv
Sherlock, Chris Direct statistical inference for finite Markov jump processes via the matrix exponential. (English) Zbl 1505.62374 Comput. Stat. 36, No. 4, 2863-2887 (2021). MSC: 62-08 62F15 62P10 92D30 PDF BibTeX XML Cite \textit{C. Sherlock}, Comput. Stat. 36, No. 4, 2863--2887 (2021; Zbl 1505.62374) Full Text: DOI arXiv
Khrennikov, Andrei Ultrametric diffusion equation on energy landscape to model disease spread in hierarchic socially clustered population. (English) Zbl 07482457 Physica A 583, Article ID 126284, 14 p. (2021). MSC: 82-XX PDF BibTeX XML Cite \textit{A. Khrennikov}, Physica A 583, Article ID 126284, 14 p. (2021; Zbl 07482457) Full Text: DOI
Crespo, Fausto F.; Posada, David; Wiuf, Carsten Coalescent models derived from birth-death processes. (English) Zbl 1482.92063 Theor. Popul. Biol. 142, 1-11 (2021). MSC: 92D25 60J85 PDF BibTeX XML Cite \textit{F. F. Crespo} et al., Theor. Popul. Biol. 142, 1--11 (2021; Zbl 1482.92063) Full Text: DOI
Carvalho, Alexsandro M.; Gonçalves, Sebastián An analytical solution for the Kermack-McKendrick model. (English) Zbl 07459832 Physica A 566, Article ID 125659, 6 p. (2021). MSC: 82-XX PDF BibTeX XML Cite \textit{A. M. Carvalho} and \textit{S. Gonçalves}, Physica A 566, Article ID 125659, 6 p. (2021; Zbl 07459832) Full Text: DOI arXiv
Lefèvre, Claude; Simon, Matthieu Ruin problems for epidemic insurance. (English) Zbl 1481.91172 Adv. Appl. Probab. 53, No. 2, 484-509 (2021). MSC: 91G05 92D30 60J28 PDF BibTeX XML Cite \textit{C. Lefèvre} and \textit{M. Simon}, Adv. Appl. Probab. 53, No. 2, 484--509 (2021; Zbl 1481.91172) Full Text: DOI
Yeo, Ténan Stochastic and deterministic SIS patch model. (English) Zbl 1478.92240 Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6173-6184 (2021). MSC: 92D30 60H30 34D23 PDF BibTeX XML Cite \textit{T. Yeo}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 12, 6173--6184 (2021; Zbl 1478.92240) Full Text: DOI arXiv
Lefèvre, Claude; Picard, Philippe; Simon, Matthieu; Utev, Sergey A chain binomial epidemic with asymptomatics motivated by COVID-19 modelling. (English) Zbl 1475.92176 J. Math. Biol. 83, No. 5, Paper No. 54, 32 p. (2021). MSC: 92D30 92C60 60G44 60J85 PDF BibTeX XML Cite \textit{C. Lefèvre} et al., J. Math. Biol. 83, No. 5, Paper No. 54, 32 p. (2021; Zbl 1475.92176) Full Text: DOI
Narci, Romain; Delattre, Maud; Larédo, Catherine; Vergu, Elisabeta Inference for partially observed epidemic dynamics guided by Kalman filtering techniques. (English) Zbl 07422876 Comput. Stat. Data Anal. 164, Article ID 107319, 23 p. (2021). MSC: 62-XX PDF BibTeX XML Cite \textit{R. Narci} et al., Comput. Stat. Data Anal. 164, Article ID 107319, 23 p. (2021; Zbl 07422876) Full Text: DOI arXiv HAL
Borowiak, Molly; Ning, Fayfay; Pei, Justin; Zhao, Sarah; Tung, Hwai-Ray; Durrett, Rick Controlling the spread of COVID-19 on college campuses. (English) Zbl 1471.92291 Math. Biosci. Eng. 18, No. 1, 551-563 (2021). MSC: 92D30 PDF BibTeX XML Cite \textit{M. Borowiak} et al., Math. Biosci. Eng. 18, No. 1, 551--563 (2021; Zbl 1471.92291) Full Text: DOI arXiv
Fotsa-Mbogne, David Jaurès Improvement of disease dynamics monitoring through systematic screening and patchy structure: application to Neissera meningitidis. (English) Zbl 1466.92103 Comput. Appl. Math. 40, No. 1, Paper No. 32, 25 p. (2021). MSC: 92C60 92D30 PDF BibTeX XML Cite \textit{D. J. Fotsa-Mbogne}, Comput. Appl. Math. 40, No. 1, Paper No. 32, 25 p. (2021; Zbl 1466.92103) Full Text: DOI
N’zi, M.; Pardoux, E.; Yeo, T. A SIR model on a refining spatial grid. I: Law of large numbers. (English) Zbl 1461.92117 Appl. Math. Optim. 83, No. 2, 1153-1189 (2021). MSC: 92D30 35Q92 PDF BibTeX XML Cite \textit{M. N'zi} et al., Appl. Math. Optim. 83, No. 2, 1153--1189 (2021; Zbl 1461.92117) Full Text: DOI arXiv
Krapivsky, P. L. Infection process near criticality: influence of the initial condition. (English) Zbl 07330566 J. Stat. Mech. Theory Exp. 2021, No. 1, Article ID 013501, 27 p. (2021). MSC: 82-XX PDF BibTeX XML Cite \textit{P. L. Krapivsky}, J. Stat. Mech. Theory Exp. 2021, No. 1, Article ID 013501, 27 p. (2021; Zbl 07330566) Full Text: DOI arXiv
Li, Meili; Wang, Hong; Song, Baojun; Ma, Junling The spread of influenza-like-illness within the household in Shanghai, China. (English) Zbl 1470.92316 Math. Biosci. Eng. 17, No. 2, 1889-1900 (2020). MSC: 92D30 PDF BibTeX XML Cite \textit{M. Li} et al., Math. Biosci. Eng. 17, No. 2, 1889--1900 (2020; Zbl 1470.92316) Full Text: DOI
Zhang, Zhenquan; Liang, Junhao; Wang, Zihao; Zhang, Jiajun; Zhou, Tianshou Modeling stochastic gene expression: from Markov to non-Markov models. (English) Zbl 1470.92122 Math. Biosci. Eng. 17, No. 5, 5304-5325 (2020). MSC: 92C40 60J28 60K30 PDF BibTeX XML Cite \textit{Z. Zhang} et al., Math. Biosci. Eng. 17, No. 5, 5304--5325 (2020; Zbl 1470.92122) Full Text: DOI
Griffin, Adam; Roberts, Gareth O.; Spencer, Simon E. F. An epidemic model for an evolving pathogen with strain-dependent immunity. (English) Zbl 1460.92199 Math. Biosci. 330, Article ID 108480, 11 p. (2020). MSC: 92D30 92D10 PDF BibTeX XML Cite \textit{A. Griffin} et al., Math. Biosci. 330, Article ID 108480, 11 p. (2020; Zbl 1460.92199) Full Text: DOI arXiv
Bittihn, Philip; Golestanian, Ramin Stochastic effects on the dynamics of an epidemic due to population subdivision. (English) Zbl 1451.92277 Chaos 30, No. 10, 101102, 12 p. (2020). MSC: 92D30 92-10 PDF BibTeX XML Cite \textit{P. Bittihn} and \textit{R. Golestanian}, Chaos 30, No. 10, 101102, 12 p. (2020; Zbl 1451.92277) Full Text: DOI arXiv
Oliveira, K. B. E.; Rodriguez, P. M. Limit theorems for a stochastic model of adoption and abandonment innovation on homogeneously mixing populations. (English) Zbl 1456.60193 J. Stat. Mech. Theory Exp. 2020, No. 3, Article ID 033404, 15 p. (2020). MSC: 60J28 60F05 PDF BibTeX XML Cite \textit{K. B. E. Oliveira} and \textit{P. M. Rodriguez}, J. Stat. Mech. Theory Exp. 2020, No. 3, Article ID 033404, 15 p. (2020; Zbl 1456.60193) Full Text: DOI
Nzokem, Aubain; Madras, Neal Epidemic dynamics and adaptive vaccination strategy: renewal equation approach. (English) Zbl 1448.92137 Bull. Math. Biol. 82, No. 9, Paper No. 122, 15 p. (2020). MSC: 92C60 60K10 PDF BibTeX XML Cite \textit{A. Nzokem} and \textit{N. Madras}, Bull. Math. Biol. 82, No. 9, Paper No. 122, 15 p. (2020; Zbl 1448.92137) Full Text: DOI arXiv
Deng, Qiqi; Zhou, Tianshou Memory-induced bifurcation and oscillations in the chemical Brusselator model. (English) Zbl 1448.80016 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050151, 14 p. (2020). Reviewer: Alain Brillard (Riedisheim) MSC: 80A32 92E20 60J25 44A10 34C23 PDF BibTeX XML Cite \textit{Q. Deng} and \textit{T. Zhou}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 10, Article ID 2050151, 14 p. (2020; Zbl 1448.80016) Full Text: DOI
Spreij, Peter; Storm, Jaap Diffusion limits for a Markov modulated binomial counting process. (English) Zbl 1434.60110 Probab. Eng. Inf. Sci. 34, No. 2, 235-257 (2020). MSC: 60F17 60F05 60J60 PDF BibTeX XML Cite \textit{P. Spreij} and \textit{J. Storm}, Probab. Eng. Inf. Sci. 34, No. 2, 235--257 (2020; Zbl 1434.60110) Full Text: DOI arXiv
Simon, Matthieu SIR epidemics with stochastic infectious periods. (English) Zbl 1434.60197 Stochastic Processes Appl. 130, No. 7, 4252-4274 (2020). MSC: 60J25 60K37 92D30 PDF BibTeX XML Cite \textit{M. Simon}, Stochastic Processes Appl. 130, No. 7, 4252--4274 (2020; Zbl 1434.60197) Full Text: DOI
Wang, Jia-Zeng; Fan, Yan-Hua Laws of epidemic dynamics in complex networks. (English) Zbl 07563831 Physica A 524, 30-35 (2019). MSC: 82-XX PDF BibTeX XML Cite \textit{J.-Z. Wang} and \textit{Y.-H. Fan}, Physica A 524, 30--35 (2019; Zbl 07563831) Full Text: DOI
El Fatini, Mohamed; Laaribi, Aziz; Pettersson, Roger; Taki, Regragui Lévy noise perturbation for an epidemic model with impact of media coverage. (English) Zbl 1492.92090 Stochastics 91, No. 7, 998-1019 (2019). MSC: 92D30 60H40 PDF BibTeX XML Cite \textit{M. El Fatini} et al., Stochastics 91, No. 7, 998--1019 (2019; Zbl 1492.92090) Full Text: DOI
Ozanne, Marie V.; Brown, Grant D.; Oleson, Jacob J.; Lima, Iraci D.; Queiroz, Jose W.; Jeronimo, Selma M. B.; Petersen, Christine A.; Wilson, Mary E. Bayesian compartmental model for an infectious disease with dynamic states of infection. (English) Zbl 1516.62524 J. Appl. Stat. 46, No. 6, 1043-1065 (2019). MSC: 62-XX PDF BibTeX XML Cite \textit{M. V. Ozanne} et al., J. Appl. Stat. 46, No. 6, 1043--1065 (2019; Zbl 1516.62524) Full Text: DOI Link
Coen, Arrigo; Godínez-Chaparro, Beatriz Compound Dirichlet processes. (English) Zbl 1436.60034 Antoniano-Villalobos, Isadora (ed.) et al., Selected contributions on statistics and data science in Latin America. 33rd “Foro nacional de estadística” (FNE) and 13th “Congreso Latinoamericano de Sociedades de Estadística” (CLATSE), Guadalajara, Mexico, October 1–5, 2018. Cham: Springer. Springer Proc. Math. Stat. 301, 43-58 (2019). MSC: 60G07 60K05 62P10 PDF BibTeX XML Cite \textit{A. Coen} and \textit{B. Godínez-Chaparro}, Springer Proc. Math. Stat. 301, 43--58 (2019; Zbl 1436.60034) Full Text: DOI arXiv
Alharthi, Muteb; Kypraios, Theodore; O’neill, Philip D. Bayes factors for partially observed stochastic epidemic models. (English) Zbl 1421.62147 Bayesian Anal. 14, No. 3, 907-936 (2019). MSC: 62P10 62F15 PDF BibTeX XML Cite \textit{M. Alharthi} et al., Bayesian Anal. 14, No. 3, 907--936 (2019; Zbl 1421.62147) Full Text: DOI arXiv Euclid
Leskelä, Lasse; Ngo, Hoa First passage percolation on sparse random graphs with boundary weights. (English) Zbl 1415.60117 J. Appl. Probab. 56, No. 2, 458-471 (2019). MSC: 60K35 05C80 PDF BibTeX XML Cite \textit{L. Leskelä} and \textit{H. Ngo}, J. Appl. Probab. 56, No. 2, 458--471 (2019; Zbl 1415.60117) Full Text: DOI arXiv
Mummert, Anna; Otunuga, Olusegun M. Parameter identification for a stochastic SEIRS epidemic model: case study influenza. (English) Zbl 1416.92163 J. Math. Biol. 79, No. 2, 705-729 (2019). MSC: 92D30 60H10 62P10 PDF BibTeX XML Cite \textit{A. Mummert} and \textit{O. M. Otunuga}, J. Math. Biol. 79, No. 2, 705--729 (2019; Zbl 1416.92163) Full Text: DOI
Montagnon, Pierre A stochastic SIR model on a graph with epidemiological and population dynamics occurring over the same time scale. (English) Zbl 1417.92192 J. Math. Biol. 79, No. 1, 31-62 (2019). MSC: 92D30 92D25 05C90 PDF BibTeX XML Cite \textit{P. Montagnon}, J. Math. Biol. 79, No. 1, 31--62 (2019; Zbl 1417.92192) Full Text: DOI arXiv
Berrhazi, Badr-Eddine; El Fatini, Mohamed; Pettersson, Roger; Laaribi, Aziz Media effects on the dynamics of a stochastic SIRI epidemic model with relapse and Lévy noise perturbation. (English) Zbl 1425.92174 Int. J. Biomath. 12, No. 3, Article ID 1950037, 21 p. (2019). MSC: 92D30 60G51 60H10 PDF BibTeX XML Cite \textit{B.-E. Berrhazi} et al., Int. J. Biomath. 12, No. 3, Article ID 1950037, 21 p. (2019; Zbl 1425.92174) Full Text: DOI
Golightly, Andrew; Bradley, Emma; Lowe, Tom; Gillespie, Colin S. Correlated pseudo-marginal schemes for time-discretised stochastic kinetic models. (English) Zbl 1507.62064 Comput. Stat. Data Anal. 136, 92-107 (2019). MSC: 62-08 62F15 62M05 60J22 65C05 PDF BibTeX XML Cite \textit{A. Golightly} et al., Comput. Stat. Data Anal. 136, 92--107 (2019; Zbl 1507.62064) Full Text: DOI arXiv
Buonomo, Bruno; Manfredi, Piero; d’Onofrio, Alberto Optimal time-profiles of public health intervention to shape voluntary vaccination for childhood diseases. (English) Zbl 1409.92145 J. Math. Biol. 78, No. 4, 1089-1113 (2019). MSC: 92C60 49N90 PDF BibTeX XML Cite \textit{B. Buonomo} et al., J. Math. Biol. 78, No. 4, 1089--1113 (2019; Zbl 1409.92145) Full Text: DOI
Jiang, Jian; Zhou, Tianshou The influence of time delay on epidemic spreading under limited resources. (English) Zbl 1514.92132 Physica A 508, 414-423 (2018). MSC: 92D30 34K60 PDF BibTeX XML Cite \textit{J. Jiang} and \textit{T. Zhou}, Physica A 508, 414--423 (2018; Zbl 1514.92132) Full Text: DOI
Dauxois, J. Y.; Nucit, A. Some estimation problems in epidemic modeling. (English) Zbl 07549509 Commun. Stat., Simulation Comput. 47, No. 4, 1066-1087 (2018). MSC: 62Mxx 97Mxx PDF BibTeX XML Cite \textit{J. Y. Dauxois} and \textit{A. Nucit}, Commun. Stat., Simulation Comput. 47, No. 4, 1066--1087 (2018; Zbl 07549509) Full Text: DOI
Jacobsen, Karly A.; Burch, Mark G.; Tien, Joseph H.; Rempała, Grzegorz A. The large graph limit of a stochastic epidemic model on a dynamic multilayer network. (English) Zbl 1447.92433 J. Biol. Dyn. 12, No. 1, 746-788 (2018). MSC: 92D30 60G55 PDF BibTeX XML Cite \textit{K. A. Jacobsen} et al., J. Biol. Dyn. 12, No. 1, 746--788 (2018; Zbl 1447.92433) Full Text: DOI arXiv
Andreychenko, Alexander; Sandmann, Werner; Wolf, Verena Approximate adaptive uniformization of continuous-time Markov chains. (English) Zbl 1457.60119 Appl. Math. Modelling 61, 561-576 (2018). MSC: 60J27 PDF BibTeX XML Cite \textit{A. Andreychenko} et al., Appl. Math. Modelling 61, 561--576 (2018; Zbl 1457.60119) Full Text: DOI
Golightly, Andrew; Kypraios, Theodore Efficient \(\mathrm{SMC}^2\) schemes for stochastic kinetic models. (English) Zbl 1430.62054 Stat. Comput. 28, No. 6, 1215-1230 (2018). MSC: 62F15 60J74 65C05 62M02 PDF BibTeX XML Cite \textit{A. Golightly} and \textit{T. Kypraios}, Stat. Comput. 28, No. 6, 1215--1230 (2018; Zbl 1430.62054) Full Text: DOI arXiv
Kypraios, Theodore; O’Neill, Philip D. Bayesian nonparametrics for stochastic epidemic models. (English) Zbl 1407.62403 Stat. Sci. 33, No. 1, 44-56 (2018). MSC: 62P10 62G08 60G15 92C60 PDF BibTeX XML Cite \textit{T. Kypraios} and \textit{P. D. O'Neill}, Stat. Sci. 33, No. 1, 44--56 (2018; Zbl 1407.62403) Full Text: DOI arXiv Euclid
Magal, Pierre; Webb, Glenn The parameter identification problem for SIR epidemic models: identifying unreported cases. (English) Zbl 1404.92194 J. Math. Biol. 77, No. 6-7, 1629-1648 (2018). MSC: 92D30 PDF BibTeX XML Cite \textit{P. Magal} and \textit{G. Webb}, J. Math. Biol. 77, No. 6--7, 1629--1648 (2018; Zbl 1404.92194) Full Text: DOI
Almaraz, E.; Gómez-Corral, A. On SIR-models with Markov-modulated events: length of an outbreak, total size of the epidemic and number of secondary infections. (English) Zbl 1404.92168 Discrete Contin. Dyn. Syst., Ser. B 23, No. 6, 2153-2176 (2018). MSC: 92D30 60J20 PDF BibTeX XML Cite \textit{E. Almaraz} and \textit{A. Gómez-Corral}, Discrete Contin. Dyn. Syst., Ser. B 23, No. 6, 2153--2176 (2018; Zbl 1404.92168) Full Text: DOI
Gamboa, Maria; Lopez-Herrero, Maria Jesus On the number of periodic inspections during outbreaks of discrete-time stochastic SIS epidemic models. (English) Zbl 1404.92182 Mathematics 6, No. 8, Paper No. 128, 13 p. (2018). MSC: 92D30 60J20 PDF BibTeX XML Cite \textit{M. Gamboa} and \textit{M. J. Lopez-Herrero}, Mathematics 6, No. 8, Paper No. 128, 13 p. (2018; Zbl 1404.92182) Full Text: DOI
de Arruda, Guilherme Ferraz; Rodrigues, Francisco A.; Moreno, Yamir Fundamentals of spreading processes in single and multilayer complex networks. (English) Zbl 1405.90041 Phys. Rep. 756, 1-59 (2018). MSC: 90B10 91D30 PDF BibTeX XML Cite \textit{G. F. de Arruda} et al., Phys. Rep. 756, 1--59 (2018; Zbl 1405.90041) Full Text: DOI arXiv Link
Bortolussi, Luca; Lanciani, Roberta; Nenzi, Laura Model checking Markov population models by stochastic approximations. (English) Zbl 1400.68120 Inf. Comput. 262, Part 2, 189-220 (2018). MSC: 68Q60 60J28 68Q45 68Q87 PDF BibTeX XML Cite \textit{L. Bortolussi} et al., Inf. Comput. 262, Part 2, 189--220 (2018; Zbl 1400.68120) Full Text: DOI arXiv
Lefèvre, Claude; Picard, Philippe A general approach to the integral functionals of epidemic processes. (English) Zbl 1401.60148 J. Appl. Probab. 55, No. 2, 593-609 (2018). MSC: 60J28 92D30 12E10 PDF BibTeX XML Cite \textit{C. Lefèvre} and \textit{P. Picard}, J. Appl. Probab. 55, No. 2, 593--609 (2018; Zbl 1401.60148) Full Text: DOI
Lunelli, Antonella; Pugliese, Andrea Final attack ratio in SIR epidemic models for multigroup populations. (English) Zbl 1395.92155 Ric. Mat. 67, No. 1, 49-68 (2018). MSC: 92D30 60H30 PDF BibTeX XML Cite \textit{A. Lunelli} and \textit{A. Pugliese}, Ric. Mat. 67, No. 1, 49--68 (2018; Zbl 1395.92155) Full Text: DOI Link
Buckingham-Jeffery, Elizabeth; Isham, Valerie; House, Thomas Gaussian process approximations for fast inference from infectious disease data. (English) Zbl 1392.92097 Math. Biosci. 301, 111-120 (2018). MSC: 92D30 62P10 PDF BibTeX XML Cite \textit{E. Buckingham-Jeffery} et al., Math. Biosci. 301, 111--120 (2018; Zbl 1392.92097) Full Text: DOI
Ho, Lam Si Tung; Xu, Jason; Crawford, Forrest W.; Minin, Vladimir N.; Suchard, Marc A. Birth/birth-death processes and their computable transition probabilities with biological applications. (English) Zbl 1384.60094 J. Math. Biol. 76, No. 4, 911-944 (2018). MSC: 60J85 60J27 92D30 62F15 PDF BibTeX XML Cite \textit{L. S. T. Ho} et al., J. Math. Biol. 76, No. 4, 911--944 (2018; Zbl 1384.60094) Full Text: DOI arXiv Link
Venturi, Daniele The numerical approximation of nonlinear functionals and functional differential equations. (English) Zbl 1473.65064 Phys. Rep. 732, 1-102 (2018). MSC: 65J15 81Q05 81Q80 PDF BibTeX XML Cite \textit{D. Venturi}, Phys. Rep. 732, 1--102 (2018; Zbl 1473.65064) Full Text: DOI arXiv
Lee, Clement; Garbett, Andrew; Wilkinson, Darren J. A network epidemic model for online community commissioning data. (English) Zbl 1384.62325 Stat. Comput. 28, No. 4, 891-904 (2018). MSC: 62P25 91D30 92D30 05C80 PDF BibTeX XML Cite \textit{C. Lee} et al., Stat. Comput. 28, No. 4, 891--904 (2018; Zbl 1384.62325) Full Text: DOI arXiv
Prangle, Dennis; Everitt, Richard G.; Kypraios, Theodore A rare event approach to high-dimensional approximate Bayesian computation. (English) Zbl 1384.62099 Stat. Comput. 28, No. 4, 819-834 (2018). MSC: 62F15 65C05 62P10 PDF BibTeX XML Cite \textit{D. Prangle} et al., Stat. Comput. 28, No. 4, 819--834 (2018; Zbl 1384.62099) Full Text: DOI arXiv Link
Widder, Andreas On the usefulness of set-membership estimation in the epidemiology of infectious diseases. (English) Zbl 1375.92073 Math. Biosci. Eng. 15, No. 1, 141-152 (2018). MSC: 92D30 49J53 34H99 90C30 PDF BibTeX XML Cite \textit{A. Widder}, Math. Biosci. Eng. 15, No. 1, 141--152 (2018; Zbl 1375.92073) Full Text: DOI
Gouvêa, Maury Meirelles jun. Time-spatial model on the dynamics of the proliferation of Aedes aegypti. (English) Zbl 1465.92089 Commun. Nonlinear Sci. Numer. Simul. 44, 130-143 (2017). MSC: 92D25 60G99 68Q80 PDF BibTeX XML Cite \textit{M. M. Gouvêa jun.}, Commun. Nonlinear Sci. Numer. Simul. 44, 130--143 (2017; Zbl 1465.92089) Full Text: DOI
Song, Li-Peng; Zhang, Rong-Ping; Feng, Li-Ping; Shi, Qiong Pattern dynamics of a spatial epidemic model with time delay. (English) Zbl 1410.34139 Appl. Math. Comput. 292, 390-399 (2017). MSC: 34C60 34D23 92D30 PDF BibTeX XML Cite \textit{L.-P. Song} et al., Appl. Math. Comput. 292, 390--399 (2017; Zbl 1410.34139) Full Text: DOI
Lefèvre, Claude; Picard, Philippe On the outcome of epidemics with detections. (English) Zbl 1401.60147 J. Appl. Probab. 54, No. 3, 890-904 (2017). MSC: 60J28 92D30 PDF BibTeX XML Cite \textit{C. Lefèvre} and \textit{P. Picard}, J. Appl. Probab. 54, No. 3, 890--904 (2017; Zbl 1401.60147) Full Text: DOI
Lefèvre, Claude; Picard, Philippe; Simon, Matthieu Epidemic risk and insurance coverage. (English) Zbl 1400.60098 J. Appl. Probab. 54, No. 1, 286-303 (2017). MSC: 60J28 91B30 92D30 PDF BibTeX XML Cite \textit{C. Lefèvre} et al., J. Appl. Probab. 54, No. 1, 286--303 (2017; Zbl 1400.60098) Full Text: DOI
Rahimov, Ibrahim Statistical inference for partially observed branching processes with immigration. (English) Zbl 1396.60093 J. Appl. Probab. 54, No. 1, 82-95 (2017). MSC: 60J80 62F12 PDF BibTeX XML Cite \textit{I. Rahimov}, J. Appl. Probab. 54, No. 1, 82--95 (2017; Zbl 1396.60093) Full Text: DOI
Qaffou, Abdelaziz; El Maroufy, Hamid; Kernane, Tewfik Bayesian parameter inference for stochastic SIR epidemic model with hyperbolic diffusion. (English) Zbl 1385.92053 Commun. Stat., Simulation Comput. 46, No. 9, 6907-6922 (2017). MSC: 92D30 65C05 60H10 PDF BibTeX XML Cite \textit{A. Qaffou} et al., Commun. Stat., Simulation Comput. 46, No. 9, 6907--6922 (2017; Zbl 1385.92053) Full Text: DOI
Armbruster, Benjamin; Beck, Ekkehard Elementary proof of convergence to the mean-field model for the SIR process. (English) Zbl 1403.92284 J. Math. Biol. 75, No. 2, 327-339 (2017). MSC: 92D30 60J28 PDF BibTeX XML Cite \textit{B. Armbruster} and \textit{E. Beck}, J. Math. Biol. 75, No. 2, 327--339 (2017; Zbl 1403.92284) Full Text: DOI arXiv
Rebuli, Nicolas P.; Bean, N. G.; Ross, J. V. Hybrid Markov chain models of S-I-R disease dynamics. (English) Zbl 1373.92138 J. Math. Biol. 75, No. 3, 521-541 (2017). MSC: 92D30 60J22 60J20 60J70 PDF BibTeX XML Cite \textit{N. P. Rebuli} et al., J. Math. Biol. 75, No. 3, 521--541 (2017; Zbl 1373.92138) Full Text: DOI
Gamado, Kokouvi; Streftaris, George; Zachary, Stan Estimation of under-reporting in epidemics using approximations. (English) Zbl 1370.92159 J. Math. Biol. 74, No. 7, 1683-1707 (2017). MSC: 92D30 62P10 62F15 PDF BibTeX XML Cite \textit{K. Gamado} et al., J. Math. Biol. 74, No. 7, 1683--1707 (2017; Zbl 1370.92159) Full Text: DOI
Ruan, Shigui Modeling the transmission dynamics and control of rabies in China. (English) Zbl 1366.92130 Math. Biosci. 286, 65-93 (2017). MSC: 92D30 PDF BibTeX XML Cite \textit{S. Ruan}, Math. Biosci. 286, 65--93 (2017; Zbl 1366.92130) Full Text: DOI
Tan, Wen; Ji, Yingdan On the pullback attractor for the non-autonomous SIR equations with diffusion. (English) Zbl 1357.35055 J. Math. Anal. Appl. 449, No. 2, 1850-1862 (2017). MSC: 35B41 35Q92 PDF BibTeX XML Cite \textit{W. Tan} and \textit{Y. Ji}, J. Math. Anal. Appl. 449, No. 2, 1850--1862 (2017; Zbl 1357.35055) Full Text: DOI
Lahrouz, Aadil; Settati, Adel; Akharif, Abdelhadi Effects of stochastic perturbation on the SIS epidemic system. (English) Zbl 1365.60063 J. Math. Biol. 74, No. 1-2, 469-498 (2017). Reviewer: Paul Georgescu (Iaşi) MSC: 60H30 60H10 92D30 47D07 PDF BibTeX XML Cite \textit{A. Lahrouz} et al., J. Math. Biol. 74, No. 1--2, 469--498 (2017; Zbl 1365.60063) Full Text: DOI
Burch, Mark G.; Jacobsen, Karly A.; Tien, Joseph H.; Rempała, Grzegorz A. Network-based analysis of a small Ebola outbreak. (English) Zbl 1361.92064 Math. Biosci. Eng. 14, No. 1, 67-77 (2017). MSC: 92D30 PDF BibTeX XML Cite \textit{M. G. Burch} et al., Math. Biosci. Eng. 14, No. 1, 67--77 (2017; Zbl 1361.92064) Full Text: DOI arXiv
El Maroufy, Hamid; Kernane, Tewfik; Becheket, Sidali; Ouddadj, Abdellah Bayesian inference for nonlinear stochastic SIR epidemic model. (English) Zbl 1510.62429 J. Stat. Comput. Simulation 86, No. 11, 2229-2240 (2016). MSC: 62P10 62F15 62M05 60J60 62-08 92D30 PDF BibTeX XML Cite \textit{H. El Maroufy} et al., J. Stat. Comput. Simulation 86, No. 11, 2229--2240 (2016; Zbl 1510.62429) Full Text: DOI HAL
Shu, Panpan; Wang, Wei; Tang, Ming; Zhao, Pengcheng; Zhang, Yi-Cheng Recovery rate affects the effective epidemic threshold with synchronous updating. (English) Zbl 1374.92153 Chaos 26, No. 6, 063108, 8 p. (2016). MSC: 92D30 PDF BibTeX XML Cite \textit{P. Shu} et al., Chaos 26, No. 6, 063108, 8 p. (2016; Zbl 1374.92153) Full Text: DOI arXiv Link
Bidari, Subekshya; Chen, Xinying; Peters, Daniel; Pittman, Dylanger; Simon, Péter L. Solvability of implicit final size equations for SIR epidemic models. (English) Zbl 1354.92080 Math. Biosci. 282, 181-190 (2016). MSC: 92D30 05C90 60J28 PDF BibTeX XML Cite \textit{S. Bidari} et al., Math. Biosci. 282, 181--190 (2016; Zbl 1354.92080) Full Text: DOI Link
Sainudiin, Raazesh; Welch, David The transmission process: a combinatorial stochastic process for the evolution of transmission trees over networks. (English) Zbl 1348.92160 J. Theor. Biol. 410, 137-170 (2016). MSC: 92D30 05C90 05C05 60J20 91D30 PDF BibTeX XML Cite \textit{R. Sainudiin} and \textit{D. Welch}, J. Theor. Biol. 410, 137--170 (2016; Zbl 1348.92160) Full Text: DOI
Boëlle, Pierre-Yves; Thomas, Guy Resistance to antibiotics: limit theorems for a stochastic SIS model structured by level of resistance. (English) Zbl 1352.92141 J. Math. Biol. 73, No. 6-7, 1353-1378 (2016). MSC: 92D30 60F05 60J25 60K35 60F15 PDF BibTeX XML Cite \textit{P.-Y. Boëlle} and \textit{G. Thomas}, J. Math. Biol. 73, No. 6--7, 1353--1378 (2016; Zbl 1352.92141) Full Text: DOI Link
Bortolussi, Luca; Gast, Nicolas Mean-field limits beyond ordinary differential equations. (English) Zbl 1346.68217 Bernardo, Marco (ed.) et al., Formal methods for the quantitative evaluation of collective adaptive systems. 16th international school on formal methods for the design of computer, communication, and software systems, SFM 2016, Bertinoro, Italy, June 20–24, 2016. Advanced lectures. Cham: Springer (ISBN 978-3-319-34095-1/pbk; 978-3-319-34096-8/ebook). Lecture Notes in Computer Science 9700, 61-82 (2016). MSC: 68T42 34A60 34F05 60J28 68Q45 68Q87 PDF BibTeX XML Cite \textit{L. Bortolussi} and \textit{N. Gast}, Lect. Notes Comput. Sci. 9700, 61--82 (2016; Zbl 1346.68217) Full Text: DOI Link
Ballard, P. G.; Bean, N. G.; Ross, J. V. The probability of epidemic fade-out is non-monotonic in transmission rate for the Markovian SIR model with demography. (English) Zbl 1343.92460 J. Theor. Biol. 393, 170-178 (2016). MSC: 92D30 60J85 PDF BibTeX XML Cite \textit{P. G. Ballard} et al., J. Theor. Biol. 393, 170--178 (2016; Zbl 1343.92460) Full Text: DOI Link
Prangle, Dennis Lazy ABC. (English) Zbl 1342.62036 Stat. Comput. 26, No. 1-2, 171-185 (2016). MSC: 62F15 62F10 65C60 PDF BibTeX XML Cite \textit{D. Prangle}, Stat. Comput. 26, No. 1--2, 171--185 (2016; Zbl 1342.62036) Full Text: DOI arXiv
Moraes, Alvaro; Tempone, Raul; Vilanova, Pedro A multilevel adaptive reaction-splitting simulation method for stochastic reaction networks. (English) Zbl 1355.65020 SIAM J. Sci. Comput. 38, No. 4, A2091-A2117 (2016). MSC: 65C50 65C05 60J75 60J27 92C40 PDF BibTeX XML Cite \textit{A. Moraes} et al., SIAM J. Sci. Comput. 38, No. 4, A2091--A2117 (2016; Zbl 1355.65020) Full Text: DOI arXiv
Angstmann, C. N.; Henry, B. I.; McGann, A. V. A fractional order recovery SIR model from a stochastic process. (English) Zbl 1343.92457 Bull. Math. Biol. 78, No. 3, 468-499 (2016). MSC: 92D30 60J70 PDF BibTeX XML Cite \textit{C. N. Angstmann} et al., Bull. Math. Biol. 78, No. 3, 468--499 (2016; Zbl 1343.92457) Full Text: DOI arXiv
Ekanayake, Amy J. Stochastic SIS metapopulation models for the spread of disease among species in a fragmented landscape. (English) Zbl 1338.60169 Int. J. Biomath. 9, No. 4, Article ID 1650055, 23 p. (2016). MSC: 60H30 60H10 60J27 60J28 60H35 65C30 92D30 92D25 PDF BibTeX XML Cite \textit{A. J. Ekanayake}, Int. J. Biomath. 9, No. 4, Article ID 1650055, 23 p. (2016; Zbl 1338.60169) Full Text: DOI
Ball, Frank; Pellis, Lorenzo; Trapman, Pieter Reproduction numbers for epidemic models with households and other social structures. II: comparisons and implications for vaccination. (English) Zbl 1365.92115 Math. Biosci. 274, 108-139 (2016). MSC: 92D30 60J85 91D30 65C20 PDF BibTeX XML Cite \textit{F. Ball} et al., Math. Biosci. 274, 108--139 (2016; Zbl 1365.92115) Full Text: DOI Link
Sazonov, Igor; Kelbert, Mark; Gravenor, Michael B. Random migration processes between two stochastic epidemic centers. (English) Zbl 1365.92132 Math. Biosci. 274, 45-57 (2016). MSC: 92D30 92D25 PDF BibTeX XML Cite \textit{I. Sazonov} et al., Math. Biosci. 274, 45--57 (2016; Zbl 1365.92132) Full Text: DOI Link
Bortolussi, Luca; Milios, Dimitrios; Sanguinetti, Guido Smoothed model checking for uncertain continuous-time Markov chains. (English) Zbl 1336.68162 Inf. Comput. 247, 235-253 (2016). MSC: 68Q60 60G15 60J28 68Q87 PDF BibTeX XML Cite \textit{L. Bortolussi} et al., Inf. Comput. 247, 235--253 (2016; Zbl 1336.68162) Full Text: DOI arXiv
Bortolussi, Luca Hybrid behaviour of Markov population models. (English) Zbl 1336.68177 Inf. Comput. 247, 37-86 (2016). MSC: 68Q85 60J25 60J28 68Q87 92D25 PDF BibTeX XML Cite \textit{L. Bortolussi}, Inf. Comput. 247, 37--86 (2016; Zbl 1336.68177) Full Text: DOI arXiv
N’zi, Modeste; Kanga, Gérard Global analysis of a deterministic and stochastic nonlinear SIRS epidemic model with saturated incidence rate. (English) Zbl 1360.92112 Random Oper. Stoch. Equ. 24, No. 1, 65-77 (2016). MSC: 92D30 93E15 60H40 PDF BibTeX XML Cite \textit{M. N'zi} and \textit{G. Kanga}, Random Oper. Stoch. Equ. 24, No. 1, 65--77 (2016; Zbl 1360.92112) Full Text: DOI
Crawford, Forrest W.; Stutz, Timothy C.; Lange, Kenneth Coupling bounds for approximating birth-death processes by truncation. (English) Zbl 1382.60098 Stat. Probab. Lett. 109, 30-38 (2016). MSC: 60J27 PDF BibTeX XML Cite \textit{F. W. Crawford} et al., Stat. Probab. Lett. 109, 30--38 (2016; Zbl 1382.60098) Full Text: DOI
Fierro, Raúl; Leiva, Víctor; Balakrishnan, N. Statistical inference on a stochastic epidemic model. (English) Zbl 1474.62386 Commun. Stat., Simulation Comput. 44, No. 9, 2297-2314 (2015). MSC: 62P10 92D30 PDF BibTeX XML Cite \textit{R. Fierro} et al., Commun. Stat., Simulation Comput. 44, No. 9, 2297--2314 (2015; Zbl 1474.62386) Full Text: DOI