Zu, Jian; Wang, Lin Periodic solutions for a seasonally forced SIR model with impact of media coverage. (English) Zbl 1422.92182 Adv. Difference Equ. 2015, Paper No. 136, 10 p. (2015). MSC: 92D30 34C25 34C60 PDFBibTeX XMLCite \textit{J. Zu} and \textit{L. Wang}, Adv. Difference Equ. 2015, Paper No. 136, 10 p. (2015; Zbl 1422.92182) Full Text: DOI
Naz, R.; Naeem, I.; Mahomed, F. M. A partial Lagrangian approach to mathematical models of epidemiology. (English) Zbl 1394.92128 Math. Probl. Eng. 2015, Article ID 602915, 11 p. (2015). MSC: 92D30 34A05 PDFBibTeX XMLCite \textit{R. Naz} et al., Math. Probl. Eng. 2015, Article ID 602915, 11 p. (2015; Zbl 1394.92128) Full Text: DOI
Bai, Zhenguo; Wu, Shi-Liang Traveling waves in a delayed SIR epidemic model with nonlinear incidence. (English) Zbl 1410.35016 Appl. Math. Comput. 263, 221-232 (2015). MSC: 35C07 35Q92 92D30 35K40 35K57 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{S.-L. Wu}, Appl. Math. Comput. 263, 221--232 (2015; Zbl 1410.35016) Full Text: DOI
Wang, Lin Existence of periodic solutions of seasonally forced SIR models with impulse vaccination. (English) Zbl 1357.92078 Taiwanese J. Math. 19, No. 6, 1713-1729 (2015). MSC: 92D30 34A37 34C25 34C60 PDFBibTeX XMLCite \textit{L. Wang}, Taiwanese J. Math. 19, No. 6, 1713--1729 (2015; Zbl 1357.92078) Full Text: DOI
Pellis, Lorenzo; House, Thomas; Keeling, Matt J. Exact and approximate moment closures for non-Markovian network epidemics. (English) Zbl 1343.92513 J. Theor. Biol. 382, 160-177 (2015). MSC: 92D30 92C42 PDFBibTeX XMLCite \textit{L. Pellis} et al., J. Theor. Biol. 382, 160--177 (2015; Zbl 1343.92513) Full Text: DOI arXiv Link
Yan, Weiping; Xue, Qianqian; Liu, Guirong An analysis of an SIR model with two infected groups on scale-free networks. (Chinese. English summary) Zbl 1349.34179 J. Yunnan Minzu Univ., Nat. Sci. 24, No. 5, 386-391 (2015). MSC: 34C60 34D23 92D30 34D05 PDFBibTeX XMLCite \textit{W. Yan} et al., J. Yunnan Minzu Univ., Nat. Sci. 24, No. 5, 386--391 (2015; Zbl 1349.34179)
Jiang, Danhua; Nie, Hua Steady-state solutions of an SIR epidemic model with spatial heterogeneity. (Chinese. English summary) Zbl 1349.35186 Chin. J. Eng. Math. 32, No. 6, 845-860 (2015). MSC: 35K57 92D30 PDFBibTeX XMLCite \textit{D. Jiang} and \textit{H. Nie}, Chin. J. Eng. Math. 32, No. 6, 845--860 (2015; Zbl 1349.35186) Full Text: DOI
Rohaeti, Embay; Wardatun, Sri; Andriyati, Ani The effect of combining herbal and synthetic medicines on stability analysis of tuberculosis spreading disease model (case study: tuberculosis in Bogor region, West Java, Indonesia). (English) Zbl 1338.92138 Far East J. Math. Sci. (FJMS) 98, No. 6, 769-775 (2015). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{E. Rohaeti} et al., Far East J. Math. Sci. (FJMS) 98, No. 6, 769--775 (2015; Zbl 1338.92138) Full Text: DOI Link
Korobeinikov, Andrei; Khailov, Evgenii; Grigorieva, Ellina Optimal control for an epidemic in populations of varying size. (English) Zbl 1334.49004 Discrete Contin. Dyn. Syst. 2015, Suppl., 549-561 (2015). MSC: 49J15 49K15 49N90 92D30 58E25 PDFBibTeX XMLCite \textit{A. Korobeinikov} et al., Discrete Contin. Dyn. Syst. 2015, 549--561 (2015; Zbl 1334.49004) Full Text: DOI
Kloeden, P. E.; Pötzsche, C. Nonautonomous bifurcation scenarios in SIR models. (English) Zbl 1357.37090 Math. Methods Appl. Sci. 38, No. 16, 3495-3518 (2015). MSC: 37N25 37C60 34C23 37G35 92D30 PDFBibTeX XMLCite \textit{P. E. Kloeden} and \textit{C. Pötzsche}, Math. Methods Appl. Sci. 38, No. 16, 3495--3518 (2015; Zbl 1357.37090) Full Text: DOI
Windridge, Peter The extinction time of a subcritical branching process related to the SIR epidemic on a random graph. (English) Zbl 1342.60150 J. Appl. Probab. 52, No. 4, 1195-1201 (2015). Reviewer: Zakhar Kabluchko (Münster) MSC: 60J80 60J27 60J85 60J28 05C80 92D30 PDFBibTeX XMLCite \textit{P. Windridge}, J. Appl. Probab. 52, No. 4, 1195--1201 (2015; Zbl 1342.60150) Full Text: DOI arXiv Euclid
Huang, Haomin; Wang, Mingxin The reaction-diffusion system for an SIR epidemic model with a free boundary. (English) Zbl 1381.35006 Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 2039-2050 (2015). MSC: 35B35 35K57 35Q92 35R35 92D30 PDFBibTeX XMLCite \textit{H. Huang} and \textit{M. Wang}, Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 2039--2050 (2015; Zbl 1381.35006) Full Text: DOI
Ding, Deqiong; Qin, Wendi; Ding, Xiaohua Lyapunov functions and global stability for a discretized multigroup SIR epidemic model. (English) Zbl 1338.92124 Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 1971-1981 (2015). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{D. Ding} et al., Discrete Contin. Dyn. Syst., Ser. B 20, No. 7, 1971--1981 (2015; Zbl 1338.92124) Full Text: DOI
Bai, Zhenguo; Zhang, Shengli Traveling waves of a diffusive SIR epidemic model with a class of nonlinear incidence rates and distributed delay. (English) Zbl 1331.92142 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 1370-1381 (2015). MSC: 92D30 35C07 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{S. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 1370--1381 (2015; Zbl 1331.92142) Full Text: DOI
Laguzet, Laetitia; Turinici, Gabriel Individual vaccination as Nash equilibrium in a SIR model with application to the 2009–2010 influenza A (H1N1) epidemic in France. (English) Zbl 1345.92146 Bull. Math. Biol. 77, No. 10, 1955-1984 (2015). MSC: 92D30 60H30 60H10 91A15 62P10 PDFBibTeX XMLCite \textit{L. Laguzet} and \textit{G. Turinici}, Bull. Math. Biol. 77, No. 10, 1955--1984 (2015; Zbl 1345.92146) Full Text: DOI
Fowler, A. C.; Hollingsworth, T. Déirdre Simple approximations for epidemics with exponential and fixed infectious periods. (English) Zbl 1336.92080 Bull. Math. Biol. 77, No. 8, 1539-1555 (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{A. C. Fowler} and \textit{T. D. Hollingsworth}, Bull. Math. Biol. 77, No. 8, 1539--1555 (2015; Zbl 1336.92080) Full Text: DOI Link
Schwartz, Elissa J.; Choi, Boseung; Rempala, Grzegorz A. Estimating epidemic parameters: application to H1N1 pandemic data. (English) Zbl 1364.92052 Math. Biosci. 270, Part B, 198-203 (2015). MSC: 92D30 92-08 62C05 PDFBibTeX XMLCite \textit{E. J. Schwartz} et al., Math. Biosci. 270, Part B, 198--203 (2015; Zbl 1364.92052) Full Text: DOI
Dubey, Balram; Dubey, Preeti; Dubey, Uma S. Dynamics of an SIR model with nonlinear incidence and treatment rate. (English) Zbl 1331.34085 Appl. Appl. Math. 10, No. 2, 718-737 (2015). MSC: 34C60 34D20 34D23 92D30 34C05 34C23 34C45 PDFBibTeX XMLCite \textit{B. Dubey} et al., Appl. Appl. Math. 10, No. 2, 718--737 (2015; Zbl 1331.34085) Full Text: Link
Ed-Darraz, Abdelkarim; Khaladi, Mohamed On the final size of epidemics in random environment. (English) Zbl 1328.92073 Math. Biosci. 266, 10-14 (2015). MSC: 92D30 60J27 PDFBibTeX XMLCite \textit{A. Ed-Darraz} and \textit{M. Khaladi}, Math. Biosci. 266, 10--14 (2015; Zbl 1328.92073) Full Text: DOI
Pakes, Anthony G. Lambert’s \(W\) meets Kermack-McKendrick epidemics. (English) Zbl 1343.92510 IMA J. Appl. Math. 80, No. 5, 1368-1386 (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{A. G. Pakes}, IMA J. Appl. Math. 80, No. 5, 1368--1386 (2015; Zbl 1343.92510) Full Text: DOI
Ball, Frank; Shaw, Laurence Estimating the within-household infection rate in emerging SIR epidemics among a community of households. (English) Zbl 1356.92078 J. Math. Biol. 71, No. 6-7, 1705-1735 (2015). Reviewer: Paul Georgescu (Iaşi) MSC: 92D30 62M05 60J85 PDFBibTeX XMLCite \textit{F. Ball} and \textit{L. Shaw}, J. Math. Biol. 71, No. 6--7, 1705--1735 (2015; Zbl 1356.92078) Full Text: DOI Link
Wang, Huichao; Wu, Ruili; Hou, Zhibo Dynamic bifurcation of a class of SIR models with diffusion term. (Chinese. English summary) Zbl 1340.92083 J. Sichuan Norm. Univ., Nat. Sci. 38, No. 2, 239-242 (2015). MSC: 92D30 35B32 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Sichuan Norm. Univ., Nat. Sci. 38, No. 2, 239--242 (2015; Zbl 1340.92083) Full Text: DOI
Bilge, Ayse Humeyra; Samanlioglu, Funda; Ergonul, Onder On the uniqueness of epidemic models fitting a normalized curve of removed individuals. (English) Zbl 1350.92048 J. Math. Biol. 71, No. 4, 767-794 (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{A. H. Bilge} et al., J. Math. Biol. 71, No. 4, 767--794 (2015; Zbl 1350.92048) Full Text: DOI
Chladná, Z.; Moltchanova, E. Incentive to vaccinate: a synthesis of two approaches. (English) Zbl 1349.92137 Acta Math. Univ. Comen., New Ser. 84, No. 2, 283-296 (2015). MSC: 92D30 91A22 91A80 PDFBibTeX XMLCite \textit{Z. Chladná} and \textit{E. Moltchanova}, Acta Math. Univ. Comen., New Ser. 84, No. 2, 283--296 (2015; Zbl 1349.92137)
Laguzet, Laetitia; Turinici, Gabriel Global optimal vaccination in the SIR model: properties of the value function and application to cost-effectiveness analysis. (English) Zbl 1371.92122 Math. Biosci. 263, 180-197 (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{L. Laguzet} and \textit{G. Turinici}, Math. Biosci. 263, 180--197 (2015; Zbl 1371.92122) Full Text: DOI HAL
Delegge, Anthony; Hunzinger, Katie; Khatri, Reema; Munir, Kiran An epidemic model with a multistage vaccine. (English) Zbl 1332.92067 Bull. Math. Biol. 77, No. 3, 499-513 (2015). MSC: 92D30 PDFBibTeX XMLCite \textit{A. Delegge} et al., Bull. Math. Biol. 77, No. 3, 499--513 (2015; Zbl 1332.92067) Full Text: DOI
Neal, Peter; Huang, Chien Lin Terry Forward simulation Markov chain Monte Carlo with applications to stochastic epidemic models. (English) Zbl 1376.62086 Scand. J. Stat. 42, No. 2, 378-396 (2015). MSC: 62P10 65C05 60J22 93D30 PDFBibTeX XMLCite \textit{P. Neal} and \textit{C. L. T. Huang}, Scand. J. Stat. 42, No. 2, 378--396 (2015; Zbl 1376.62086) Full Text: DOI
Yang, Fei-Ying; Li, Wan-Tong; Wang, Zhi-Cheng Traveling waves in a nonlocal dispersal SIR epidemic model. (English) Zbl 1354.92096 Nonlinear Anal., Real World Appl. 23, 129-147 (2015). MSC: 92D30 35C07 PDFBibTeX XMLCite \textit{F.-Y. Yang} et al., Nonlinear Anal., Real World Appl. 23, 129--147 (2015; Zbl 1354.92096) Full Text: DOI
Lin, Yuguo; Jiang, Daqing; Liu, Taihui Nontrivial periodic solution of a stochastic epidemic model with seasonal variation. (English) Zbl 1354.92087 Appl. Math. Lett. 45, 103-107 (2015). MSC: 92D30 34C25 PDFBibTeX XMLCite \textit{Y. Lin} et al., Appl. Math. Lett. 45, 103--107 (2015; Zbl 1354.92087) Full Text: DOI
Hernandez-Ceron, Nancy; Chavez-Casillas, Jonathan A.; Feng, Zhilan Discrete stochastic metapopulation model with arbitrarily distributed infectious period. (English) Zbl 1315.92079 Math. Biosci. 261, 74-82 (2015). MSC: 92D30 92D25 PDFBibTeX XMLCite \textit{N. Hernandez-Ceron} et al., Math. Biosci. 261, 74--82 (2015; Zbl 1315.92079) Full Text: DOI
Wang, Jinliang; Liu, Xianning; Pang, Jingmei; Hou, Dongmei Global dynamics of a multi-group epidemic model with general exposed distribution and relapse. (English) Zbl 1312.92042 Osaka J. Math. 52, No. 1, 117-138 (2015). Reviewer: Yilun Shang (Shanghai) MSC: 92D30 34K20 PDFBibTeX XMLCite \textit{J. Wang} et al., Osaka J. Math. 52, No. 1, 117--138 (2015; Zbl 1312.92042) Full Text: Euclid
Schurz, Henri; Tosun, Kursad Stochastic asymptotic stability of SIR model with variable diffusion rates. (English) Zbl 1312.60077 J. Dyn. Differ. Equations 27, No. 1, 69-82 (2015). MSC: 60H10 60H30 92D30 93E15 PDFBibTeX XMLCite \textit{H. Schurz} and \textit{K. Tosun}, J. Dyn. Differ. Equations 27, No. 1, 69--82 (2015; Zbl 1312.60077) Full Text: DOI
Li, Yan; Li, Wan-Tong; Lin, Guo Traveling waves of a delayed diffusive SIR epidemic model. (English) Zbl 1422.35106 Commun. Pure Appl. Anal. 14, No. 3, 1001-1022 (2015). MSC: 35K40 35C07 35K57 35Q92 92D30 PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Pure Appl. Anal. 14, No. 3, 1001--1022 (2015; Zbl 1422.35106) Full Text: DOI
Jiang, Zhichao; Ma, Wanbiao Permanence of a delayed SIR epidemic model with general nonlinear incidence rate. (English) Zbl 1307.34114 Math. Methods Appl. Sci. 38, No. 3, 505-516 (2015). MSC: 34K18 34K20 92B20 PDFBibTeX XMLCite \textit{Z. Jiang} and \textit{W. Ma}, Math. Methods Appl. Sci. 38, No. 3, 505--516 (2015; Zbl 1307.34114) Full Text: DOI
Anguiano, María \(H^2\)-boundedness of the pullback attractor for the non-autonomous SIR equations with diffusion. (English) Zbl 1304.35107 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, Part A, 180-189 (2015). MSC: 35B41 37B55 92D30 PDFBibTeX XMLCite \textit{M. Anguiano}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 113, 180--189 (2015; Zbl 1304.35107) Full Text: DOI
Gutfraind, Alexander Monotonic and non-monotonic infections on networks. (English) Zbl 1414.90070 Butenko, Sergiy (ed.) et al., Examining robustness and vulnerability of networked systems. Selected papers of the NATO Advanced Research Workshop (ARW) on examining robustness and vulnerability of critical infrastructure networks, Kiev, Ukraine, June 3–5, 2013. Amsterdam: IOS Press. NATO Sci. Peace Secur. Ser. D, Inf. Commun. Secur. 37, 93-103 (2014). MSC: 90B15 92D30 PDFBibTeX XMLCite \textit{A. Gutfraind}, NATO Sci. Peace Secur. Ser. D, Inf. Commun. Secur. 37, 93--103 (2014; Zbl 1414.90070) Full Text: arXiv Link
Li, Guihua; Li, Gaofeng Bifurcation analysis of an SIR epidemic model with the contact transmission function. (English) Zbl 1406.92590 Abstr. Appl. Anal. 2014, Article ID 930541, 7 p. (2014). MSC: 92D30 34C23 PDFBibTeX XMLCite \textit{G. Li} and \textit{G. Li}, Abstr. Appl. Anal. 2014, Article ID 930541, 7 p. (2014; Zbl 1406.92590) Full Text: DOI
Pei, Yongzhen; Changguo, Li; Wu, Qianyong; Lv, Yunfei Successive vaccination and difference in immunity of a delay SIR model with a general incidence rate. (English) Zbl 1406.92363 Abstr. Appl. Anal. 2014, Article ID 678723, 10 p. (2014). MSC: 92C60 92D30 PDFBibTeX XMLCite \textit{Y. Pei} et al., Abstr. Appl. Anal. 2014, Article ID 678723, 10 p. (2014; Zbl 1406.92363) Full Text: DOI
Rao, Feng Dynamics analysis of a stochastic SIR epidemic model. (English) Zbl 1406.92614 Abstr. Appl. Anal. 2014, Article ID 356013, 9 p. (2014). MSC: 92D30 60H10 PDFBibTeX XMLCite \textit{F. Rao}, Abstr. Appl. Anal. 2014, Article ID 356013, 9 p. (2014; Zbl 1406.92614) Full Text: DOI
Li, Mingming; Liu, Xianning An SIR epidemic model with time delay and general nonlinear incidence rate. (English) Zbl 1406.92592 Abstr. Appl. Anal. 2014, Article ID 131257, 7 p. (2014). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{M. Li} and \textit{X. Liu}, Abstr. Appl. Anal. 2014, Article ID 131257, 7 p. (2014; Zbl 1406.92592) Full Text: DOI
Ahn, Kwang Woo; Chan, Kung-Sik Approximate conditional least squares estimation of a nonlinear state-space model via an unscented Kalman filter. (English) Zbl 1471.62011 Comput. Stat. Data Anal. 69, 243-254 (2014). MSC: 62-08 62M10 62M20 PDFBibTeX XMLCite \textit{K. W. Ahn} and \textit{K.-S. Chan}, Comput. Stat. Data Anal. 69, 243--254 (2014; Zbl 1471.62011) Full Text: DOI
Zhang, Nan; Huang, Hong; Su, Boni; Zhao, Jinlong; Zhang, Bo Dynamic 8-state ICSAR rumor propagation model considering official rumor refutation. (English) Zbl 1402.91611 Physica A 415, 333-346 (2014). MSC: 91D10 92D30 PDFBibTeX XMLCite \textit{N. Zhang} et al., Physica A 415, 333--346 (2014; Zbl 1402.91611) Full Text: DOI
Wang, Jianrong; Wang, Jianping; Liu, Maoxing; Li, Youwen Global stability analysis of an SIR epidemic model with demographics and time delay on networks. (English) Zbl 1395.92169 Physica A 410, 268-275 (2014). MSC: 92D30 05C82 PDFBibTeX XMLCite \textit{J. Wang} et al., Physica A 410, 268--275 (2014; Zbl 1395.92169) Full Text: DOI
Fu, Libi; Song, Weiguo; Lv, Wei; Lo, Siuming Simulation of emotional contagion using modified SIR model: A cellular automaton approach. (English) Zbl 1395.92006 Physica A 405, 380-391 (2014). MSC: 92-08 92D30 68Q80 PDFBibTeX XMLCite \textit{L. Fu} et al., Physica A 405, 380--391 (2014; Zbl 1395.92006) Full Text: DOI
Zan, Yongli; Wu, Jianliang; Li, Ping; Yu, Qinglin SICR rumor spreading model in complex networks: counterattack and self-resistance. (English) Zbl 1395.91357 Physica A 405, 159-170 (2014). MSC: 91C99 92D30 05C82 PDFBibTeX XMLCite \textit{Y. Zan} et al., Physica A 405, 159--170 (2014; Zbl 1395.91357) Full Text: DOI
Abta, Abdelhadi; Laarabi, Hassan; Alaoui, Hamad Talibi The Hopf bifurcation analysis and optimal control of a delayed SIR epidemic model. (English) Zbl 1390.92131 Int. J. Anal. 2014, Article ID 940819, 10 p. (2014). MSC: 92D30 34K60 49N90 34D05 PDFBibTeX XMLCite \textit{A. Abta} et al., Int. J. Anal. 2014, Article ID 940819, 10 p. (2014; Zbl 1390.92131) Full Text: DOI
Marinov, Tchavdar T.; Marinova, Rossitza S.; Omojola, Joe; Jackson, Michael Inverse problem for coefficient identification in SIR epidemic models. (English) Zbl 1368.92187 Comput. Math. Appl. 67, No. 12, 2218-2227 (2014). MSC: 92D30 92C60 92-08 PDFBibTeX XMLCite \textit{T. T. Marinov} et al., Comput. Math. Appl. 67, No. 12, 2218--2227 (2014; Zbl 1368.92187) Full Text: DOI
Wang, Fengyan; Wang, Xiaoyi; Zhang, Shuwen; Ding, Changming On pulse vaccine strategy in a periodic stochastic SIR epidemic model. (English) Zbl 1349.92152 Chaos Solitons Fractals 66, 127-135 (2014). MSC: 92D30 37N25 34K50 PDFBibTeX XMLCite \textit{F. Wang} et al., Chaos Solitons Fractals 66, 127--135 (2014; Zbl 1349.92152) Full Text: DOI
Li, Yan; Li, Wan-Tong; Yang, Fei-Ying Traveling waves for a nonlocal dispersal SIR model with delay and external supplies. (English) Zbl 1338.92131 Appl. Math. Comput. 247, 723-740 (2014). MSC: 92D30 PDFBibTeX XMLCite \textit{Y. Li} et al., Appl. Math. Comput. 247, 723--740 (2014; Zbl 1338.92131) Full Text: DOI
Zhou, Yanli; Zhang, Weiguo; Yuan, Sanling Survival and stationary distribution of a SIR epidemic model with stochastic perturbations. (English) Zbl 1335.92109 Appl. Math. Comput. 244, 118-131 (2014). MSC: 92D30 60H10 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Appl. Math. Comput. 244, 118--131 (2014; Zbl 1335.92109) Full Text: DOI
Harko, Tiberiu; Lobo, Francisco S. N.; Mak, M. K. Exact analytical solutions of the susceptible-infected-recovered (SIR) epidemic model and of the SIR model with equal death and birth rates. (English) Zbl 1334.92400 Appl. Math. Comput. 236, 184-194 (2014). MSC: 92D30 PDFBibTeX XMLCite \textit{T. Harko} et al., Appl. Math. Comput. 236, 184--194 (2014; Zbl 1334.92400) Full Text: DOI arXiv
Allen, L. J. S.; Allen, E. J. Deterministic and stochastic SIR epidemic models with power function transmission and recovery rates. (English) Zbl 1335.92088 Gumel, Abba B. (ed.), Mathematics of continuous and discrete dynamical systems. AMS special session in honor of Ronald Mickens’s 70th birthday on nonstandard finite-difference discretizations and nonlinear oscillations, San Diego, CA, USA, January 9–10, 2013. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9862-8/pbk; 978-1-4704-1686-7/ebook). Contemporary Mathematics 618, 1-15 (2014). MSC: 92D30 60H10 60J28 PDFBibTeX XMLCite \textit{L. J. S. Allen} and \textit{E. J. Allen}, Contemp. Math. 618, 1--15 (2014; Zbl 1335.92088)
Cui, Qianqian; Yang, Xia; Zhang, Qiang An NSFD scheme for a class of SIR epidemic models with vaccination and treatment. (English) Zbl 1319.92025 J. Difference Equ. Appl. 20, No. 3, 416-422 (2014). MSC: 92C60 92D30 39A12 65L12 PDFBibTeX XMLCite \textit{Q. Cui} et al., J. Difference Equ. Appl. 20, No. 3, 416--422 (2014; Zbl 1319.92025) Full Text: DOI
Janson, Svante; Luczak, Malwina; Windridge, Peter Law of large numbers for the SIR epidemic on a random graph with given degrees. (English) Zbl 1328.05170 Random Struct. Algorithms 45, No. 4, 726-763 (2014). MSC: 05C80 05C85 PDFBibTeX XMLCite \textit{S. Janson} et al., Random Struct. Algorithms 45, No. 4, 726--763 (2014; Zbl 1328.05170) Full Text: DOI arXiv
Kuniya, Toshikazu Existence of a nontrivial periodic solution in an age-structured SIR epidemic model with time periodic coefficients. (English) Zbl 1311.92178 Appl. Math. Lett. 27, 15-20 (2014). MSC: 92D30 92C60 35Q92 35A01 35B10 PDFBibTeX XMLCite \textit{T. Kuniya}, Appl. Math. Lett. 27, 15--20 (2014; Zbl 1311.92178) Full Text: DOI
Matadi, Maba Boniface The SIRD epidemial model. (English) Zbl 1319.34089 Far East J. Appl. Math. 89, No. 1, 1-14 (2014). MSC: 34C60 34C14 34A05 92D30 PDFBibTeX XMLCite \textit{M. B. Matadi}, Far East J. Appl. Math. 89, No. 1, 1--14 (2014; Zbl 1319.34089) Full Text: Link
Li, Li; Bai, Yanping; Jin, Zhen Periodic solutions of an epidemic model with saturated treatment. (English) Zbl 1306.92060 Nonlinear Dyn. 76, No. 2, 1099-1108 (2014). MSC: 92D30 70K42 PDFBibTeX XMLCite \textit{L. Li} et al., Nonlinear Dyn. 76, No. 2, 1099--1108 (2014; Zbl 1306.92060) Full Text: DOI
Du, Yanke; Xu, Rui Pattern formation in two classes of SIR epidemic models with spatial diffusion. (English) Zbl 1313.92087 Chin. J. Eng. Math. 31, No. 3, 454-462 (2014). MSC: 92D30 92C60 35B36 PDFBibTeX XMLCite \textit{Y. Du} and \textit{R. Xu}, Chin. J. Eng. Math. 31, No. 3, 454--462 (2014; Zbl 1313.92087) Full Text: DOI
Rahman, Azizur; Kuddus, Abdul A new model to study on physical behaviour among susceptible infective removal population. (English) Zbl 1307.62250 Far East J. Theor. Stat. 46, No. 2, 115-135 (2014). MSC: 62P10 92C60 PDFBibTeX XMLCite \textit{A. Rahman} and \textit{A. Kuddus}, Far East J. Theor. Stat. 46, No. 2, 115--135 (2014; Zbl 1307.62250) Full Text: Link
Kuniya, Toshikazu; Muroya, Yoshiaki; Enatsu, Yoichi Threshold dynamics of an SIR epidemic model with hybrid of multigroup and patch structures. (English) Zbl 1312.34086 Math. Biosci. Eng. 11, No. 6, 1375-1393 (2014). MSC: 34C60 34D05 34D20 34D23 92D30 PDFBibTeX XMLCite \textit{T. Kuniya} et al., Math. Biosci. Eng. 11, No. 6, 1375--1393 (2014; Zbl 1312.34086) Full Text: DOI
Freihat, Asad A.; Handam, Ali H. Solution of the SIR models of epidemics using MSGDTM. (English) Zbl 1308.74063 Appl. Appl. Math. 9, No. 2, 622-636 (2014). MSC: 74H15 PDFBibTeX XMLCite \textit{A. A. Freihat} and \textit{A. H. Handam}, Appl. Appl. Math. 9, No. 2, 622--636 (2014; Zbl 1308.74063)
Ball, Frank; González, Miguel; Martínez, Rodrigo; Slavtchova-Bojkova, Maroussia Stochastic monotonicity and continuity properties of functions defined on Crump-Mode-Jagers branching processes, with application to vaccination in epidemic modelling. (English) Zbl 1329.60299 Bernoulli 20, No. 4, 2076-2101 (2014). MSC: 60J80 60J85 92D30 65C05 PDFBibTeX XMLCite \textit{F. Ball} et al., Bernoulli 20, No. 4, 2076--2101 (2014; Zbl 1329.60299) Full Text: DOI arXiv Euclid
Fujii, Kazuyuki Comment on “Epidemiological modeling of online social network dynamics”. (English) Zbl 1298.91125 Far East J. Math. Educ. 12, No. 2, 179-185 (2014). MSC: 91D30 92D30 PDFBibTeX XMLCite \textit{K. Fujii}, Far East J. Math. Educ. 12, No. 2, 179--185 (2014; Zbl 1298.91125) Full Text: arXiv Link
Froda, Sorana; Leduc, Hugues Estimating the basic reproduction number from surveillance data on past epidemics. (English) Zbl 1330.92123 Math. Biosci. 256, 89-101 (2014). MSC: 92D30 PDFBibTeX XMLCite \textit{S. Froda} and \textit{H. Leduc}, Math. Biosci. 256, 89--101 (2014; Zbl 1330.92123) Full Text: DOI
Lotfi, El Mehdi; Maziane, Mehdi; Hattaf, Khalid; Yousfi, Noura Partial differential equations of an epidemic model with spatial diffusion. (English) Zbl 1300.92103 Int. J. Partial Differ. Equ. 2014, Article ID 186437, 6 p. (2014). MSC: 92D30 35K57 35B35 PDFBibTeX XMLCite \textit{E. M. Lotfi} et al., Int. J. Partial Differ. Equ. 2014, Article ID 186437, 6 p. (2014; Zbl 1300.92103) Full Text: DOI
Grigorieva, E. V.; Khailov, E. N. Optimal vaccination, treatment, and preventive campaigns in regard to the SIR epidemic model. (English) Zbl 1294.49012 Math. Model. Nat. Phenom. 9, No. 4, 105-121 (2014). MSC: 49K15 49J15 49M30 92D30 PDFBibTeX XMLCite \textit{E. V. Grigorieva} and \textit{E. N. Khailov}, Math. Model. Nat. Phenom. 9, No. 4, 105--121 (2014; Zbl 1294.49012) Full Text: DOI Link
Graham, Matthew; House, Thomas Dynamics of stochastic epidemics on heterogeneous networks. (English) Zbl 1300.92100 J. Math. Biol. 68, No. 7, 1583-1605 (2014); erratum ibid. 73, No. 1, 257-258 (2016). MSC: 92D30 PDFBibTeX XMLCite \textit{M. Graham} and \textit{T. House}, J. Math. Biol. 68, No. 7, 1583--1605 (2014; Zbl 1300.92100) Full Text: DOI arXiv
Shan, Chunhua; Zhu, Huaiping Bifurcations and complex dynamics of an SIR model with the impact of the number of hospital beds. (English) Zbl 1300.34113 J. Differ. Equations 257, No. 5, 1662-1688 (2014). Reviewer: Josef Hainzl (Freiburg) MSC: 34C60 92D30 34C23 34C05 PDFBibTeX XMLCite \textit{C. Shan} and \textit{H. Zhu}, J. Differ. Equations 257, No. 5, 1662--1688 (2014; Zbl 1300.34113) Full Text: DOI
Yu, Hwa-Lung; Angulo, José M.; Cheng, Ming-Hung; Wu, Jiaping; Christakos, George An online spatiotemporal prediction model for dengue fever epidemic in Kaohsiung (Taiwan). (English) Zbl 1441.62545 Biom. J. 56, No. 3, 428-440 (2014). MSC: 62P10 92D30 PDFBibTeX XMLCite \textit{H.-L. Yu} et al., Biom. J. 56, No. 3, 428--440 (2014; Zbl 1441.62545) Full Text: DOI
Miller, J. C.; Kiss, I. Z. Epidemic spread in networks: existing methods and current challenges. (English) Zbl 1322.92076 Math. Model. Nat. Phenom. 9, No. 2, 4-42 (2014). MSC: 92D30 91D30 PDFBibTeX XMLCite \textit{J. C. Miller} and \textit{I. Z. Kiss}, Math. Model. Nat. Phenom. 9, No. 2, 4--42 (2014; Zbl 1322.92076) Full Text: DOI arXiv Link
Magal, Pierre; Ruan, Shigui Susceptible-infectious-recovered models revisited: from the individual level to the population level. (English) Zbl 1315.92081 Math. Biosci. 250, 26-40 (2014). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{P. Magal} and \textit{S. Ruan}, Math. Biosci. 250, 26--40 (2014; Zbl 1315.92081) Full Text: DOI
Diedrichs, Danilo R.; Isihara, Paul A.; Buursma, Doeke D. The schedule effect: can recurrent peak infections be reduced without vaccines, quarantines or school closings? (English) Zbl 1314.92155 Math. Biosci. 248, 46-53 (2014). MSC: 92D30 92C60 PDFBibTeX XMLCite \textit{D. R. Diedrichs} et al., Math. Biosci. 248, 46--53 (2014; Zbl 1314.92155) Full Text: DOI
Augeraud-Véron, E.; Sari, N. Seasonal dynamics in an SIR epidemic system. (English) Zbl 1376.92059 J. Math. Biol. 68, No. 3, 701-725 (2014). MSC: 92D30 34C15 34C25 34E15 34E17 PDFBibTeX XMLCite \textit{E. Augeraud-Véron} and \textit{N. Sari}, J. Math. Biol. 68, No. 3, 701--725 (2014; Zbl 1376.92059) Full Text: DOI
Nyamoradi, Nemat; Javidi, Mohammad Stability analysis of SIR epidemic model with limited medical resources revisited. (English) Zbl 1286.34072 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 21, No. 1, 39-53 (2014). MSC: 34C60 92D30 34C23 34D20 34D23 PDFBibTeX XMLCite \textit{N. Nyamoradi} and \textit{M. Javidi}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 21, No. 1, 39--53 (2014; Zbl 1286.34072) Full Text: Link
Ackleh, Azmy S.; Salceanu, Paul L. Robust uniform persistence and competitive exclusion in a nonautonomous multi-strain SIR epidemic model with disease-induced mortality. (English) Zbl 1345.92131 J. Math. Biol. 68, No. 1-2, 453-475 (2014). MSC: 92D30 34C60 PDFBibTeX XMLCite \textit{A. S. Ackleh} and \textit{P. L. Salceanu}, J. Math. Biol. 68, No. 1--2, 453--475 (2014; Zbl 1345.92131) Full Text: DOI
Qin, Wenjie; Tang, Sanyi; Cheke, Robert A. Nonlinear pulse vaccination in an SIR epidemic model with resource limitation. (English) Zbl 1420.92067 Abstr. Appl. Anal. 2013, Article ID 670263, 13 p. (2013). MSC: 92C60 92D30 34C25 PDFBibTeX XMLCite \textit{W. Qin} et al., Abstr. Appl. Anal. 2013, Article ID 670263, 13 p. (2013; Zbl 1420.92067) Full Text: DOI
Zhao, Laijun; Wang, Xiaoli; Qiu, Xiaoyan; Wang, Jiajia A model for the spread of rumors in Barrat-Barthelemy-Vespignani (BBV) networks. (English) Zbl 1402.91613 Physica A 392, No. 21, 5542-5551 (2013). MSC: 91D10 91D30 PDFBibTeX XMLCite \textit{L. Zhao} et al., Physica A 392, No. 21, 5542--5551 (2013; Zbl 1402.91613) Full Text: DOI
Dobay, Akos; Gall, Gabriella E. C.; Rankin, Daniel J.; Bagheri, Homayoun C. Renaissance model of an epidemic with quarantine. (English) Zbl 1368.92172 J. Theor. Biol. 317, 348-358 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{A. Dobay} et al., J. Theor. Biol. 317, 348--358 (2013; Zbl 1368.92172) Full Text: DOI Link
Ma, Xia; Zhou, Yicang; Cao, Hui Global stability of the endemic equilibrium of a discrete SIR epidemic model. (English) Zbl 1376.92066 Adv. Difference Equ. 2013, Paper No. 42, 19 p. (2013). MSC: 92D30 39A30 PDFBibTeX XMLCite \textit{X. Ma} et al., Adv. Difference Equ. 2013, Paper No. 42, 19 p. (2013; Zbl 1376.92066) Full Text: DOI
Wang, Yuying; Zhou, Yicang The endemic equilibrium bifurcation of an SIR model with nonlinear incidence rate having a peak. (English) Zbl 1356.92091 Can. Appl. Math. Q. 21, No. 2, 301-319 (2013). MSC: 92D30 34C23 34D20 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{Y. Zhou}, Can. Appl. Math. Q. 21, No. 2, 301--319 (2013; Zbl 1356.92091)
Omori, Ryosuke; Sasaki, Akira Timing of the emergence of new successful viral strains in seasonal influenza. (English) Zbl 1330.92132 J. Theor. Biol. 329, 32-38 (2013). MSC: 92D30 92D15 PDFBibTeX XMLCite \textit{R. Omori} and \textit{A. Sasaki}, J. Theor. Biol. 329, 32--38 (2013; Zbl 1330.92132) Full Text: DOI Link
Abta, Abdelhadi; El Fatini, Mohamed; Elkhaiar, Soufiane; Kaddar, Abdelilah Global analysis for a delay-distributed SIR epidemic model. (English. French summary) Zbl 1336.92076 ESAIM, Proc. 39, 1-6 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{A. Abta} et al., ESAIM, Proc. 39, 1--6 (2013; Zbl 1336.92076) Full Text: DOI
Antulov-Fantulin, Nino; Lančić, Alen; Štefančić, Hrvoje; Šikić, Mile FastSIR algorithm: a fast algorithm for the simulation of the epidemic spread in large networks by using the susceptible-infected-recovered compartment model. (English) Zbl 1320.68033 Inf. Sci. 239, 226-240 (2013). MSC: 68M10 05C82 05C85 68Q87 68R10 92D30 PDFBibTeX XMLCite \textit{N. Antulov-Fantulin} et al., Inf. Sci. 239, 226--240 (2013; Zbl 1320.68033) Full Text: DOI arXiv
Hattaf, Khalid; Lashari, Abid; Louartassi, Younes; Yousfi, Noura A delayed SIR epidemic model with a general incidence rate. (English) Zbl 1340.34315 Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 3, 9 p. (2013). MSC: 34K60 92D30 34K25 34K20 PDFBibTeX XMLCite \textit{K. Hattaf} et al., Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 3, 9 p. (2013; Zbl 1340.34315) Full Text: DOI Link
Scrucca, Luca; Bar-Hen, Avner A model-based dimension reduction approach to classification of gene expression data. (English) Zbl 1300.62104 Torelli, Nicola (ed.) et al., Advances in theoretical and applied statistics. Selected papers based on the presentations at the 45th meeting of the Italian Statistical Society (SIS), Padua, Italy, June 16–18, 2010. Berlin: Springer (ISBN 978-3-642-35587-5/hbk; 978-3-642-35588-2/ebook). Studies in Theoretical and Applied Statistics. Selected Papers of the Statistical Societies, 221-230 (2013). MSC: 62P10 62H30 PDFBibTeX XMLCite \textit{L. Scrucca} and \textit{A. Bar-Hen}, in: Advances in theoretical and applied statistics. Selected papers based on the presentations at the 45th meeting of the Italian Statistical Society (SIS), Padua, Italy, June 16--18, 2010. Berlin: Springer. 221--230 (2013; Zbl 1300.62104) Full Text: DOI
Elhia, Mohamed; Rachik, Mostafa; Benlahmar, Elhabib Optimal control of an SIR model with delay in state and control variables. (English) Zbl 1300.92097 ISRN Biomath. 2013, Article ID 403549, 7 p. (2013). MSC: 92D30 49K15 PDFBibTeX XMLCite \textit{M. Elhia} et al., ISRN Biomath. 2013, Article ID 403549, 7 p. (2013; Zbl 1300.92097) Full Text: DOI
Chen, Wenbin Existence of periodic solutions for a non-autonomous SIR epidemic model with delays. (Chinese. English summary) Zbl 1313.34253 Acta Anal. Funct. Appl. 15, No. 4, 349-354 (2013). MSC: 34K60 34K13 92D30 92C60 47N20 PDFBibTeX XMLCite \textit{W. Chen}, Acta Anal. Funct. Appl. 15, No. 4, 349--354 (2013; Zbl 1313.34253) Full Text: DOI
Elena, Gubar; Ekaterina, Zhitkova Decision making procedure in optimal control problem for the SIR model. (English) Zbl 1289.91053 Petrosyan, Leon A. (ed.) et al., Contributions to game theory and management. Volume VI. The 6th international conference game theory and management (GTM 2012), June 27–29, 2012, St. Petersburg, Russia. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg University (ISBN 978-5-9924-0080-9/pbk). 189-199 (2013). MSC: 91B06 92C60 49N90 91A22 91A80 PDFBibTeX XMLCite \textit{G. Elena} and \textit{Z. Ekaterina}, in: Contributions to game theory and management. Volume VI. The 6th international conference game theory and management (GTM 2012), June 27--29, 2012, St. Petersburg, Russia. Collected papers. St. Petersburg: Graduate School of Management, St. Petersburg University. 189--199 (2013; Zbl 1289.91053)
Kim, Kwang Ik; Lin, Zhigui; Zhang, Qunying An SIR epidemic model with free boundary. (English) Zbl 1310.92054 Nonlinear Anal., Real World Appl. 14, No. 5, 1992-2001 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{K. I. Kim} et al., Nonlinear Anal., Real World Appl. 14, No. 5, 1992--2001 (2013; Zbl 1310.92054) Full Text: DOI arXiv
Muroya, Yoshiaki; Enatsu, Yoichi; Kuniya, Toshikazu Global stability of extended multi-group SIR epidemic models with patches through migration and cross patch infection. (English) Zbl 1289.34221 Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 341-361 (2013). MSC: 34K60 34K20 34K25 92D30 92C60 PDFBibTeX XMLCite \textit{Y. Muroya} et al., Acta Math. Sci., Ser. B, Engl. Ed. 33, No. 2, 341--361 (2013; Zbl 1289.34221) Full Text: DOI
Meng, Linlin; Yuan, Sanling The asymptotic behavior of a stochastic SIR epidemic model. (Chinese. English summary) Zbl 1289.92055 J. Biomath. 28, No. 1, 47-52 (2013). MSC: 92D30 92C60 60H10 PDFBibTeX XMLCite \textit{L. Meng} and \textit{S. Yuan}, J. Biomath. 28, No. 1, 47--52 (2013; Zbl 1289.92055)
Zhou, Yinggao; Wu, Jianhong; Wu, Min Optimal isolation strategies of emerging infectious diseases with limited resources. (English) Zbl 1273.92063 Math. Biosci. Eng. 10, No. 5-6, 1691-1701 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{Y. Zhou} et al., Math. Biosci. Eng. 10, No. 5--6, 1691--1701 (2013; Zbl 1273.92063) Full Text: DOI
Suryanto, A.; Kusumawinahyu, W. M.; Darti, I.; Yanti, I. Dynamically consistent discrete epidemic model with modified saturated incidence rate. (English) Zbl 1293.37035 Comput. Appl. Math. 32, No. 2, 373-383 (2013). MSC: 37N25 37M99 92D30 PDFBibTeX XMLCite \textit{A. Suryanto} et al., Comput. Appl. Math. 32, No. 2, 373--383 (2013; Zbl 1293.37035) Full Text: DOI
Wu, Yahui; Deng, Su; Huang, Hongbin Hop limited epidemic-like information spreading in mobile social networks with selfish nodes. (English) Zbl 1272.91110 J. Phys. A, Math. Theor. 46, No. 26, Article ID 265101, 14 p. (2013). Reviewer: Yilun Shang (Shanghai) MSC: 91D30 PDFBibTeX XMLCite \textit{Y. Wu} et al., J. Phys. A, Math. Theor. 46, No. 26, Article ID 265101, 14 p. (2013; Zbl 1272.91110) Full Text: DOI
Koch, Dean; Illner, Reinhard; Ma, Junling Edge removal in random contact networks and the basic reproduction number. (English) Zbl 1402.92395 J. Math. Biol. 67, No. 2, 217-238 (2013). MSC: 92D30 05C82 PDFBibTeX XMLCite \textit{D. Koch} et al., J. Math. Biol. 67, No. 2, 217--238 (2013; Zbl 1402.92395) Full Text: DOI
O’Regan, Suzanne M.; Kelly, Thomas C.; Korobeinikov, Andrei; O’Callaghan, Michael J. A.; Pokrovskii, Alexei V.; Rachinskii, Dmitrii Chaos in a seasonally perturbed SIR model: avian influenza in a seabird colony as a paradigm. (English) Zbl 1286.37074 J. Math. Biol. 67, No. 2, 293-327 (2013). MSC: 37N25 37B55 37D45 92B05 92D40 PDFBibTeX XMLCite \textit{S. M. O'Regan} et al., J. Math. Biol. 67, No. 2, 293--327 (2013; Zbl 1286.37074) Full Text: DOI Link
Roberts, M. G. Epidemic models with uncertainty in the reproduction number. (English) Zbl 1402.92407 J. Math. Biol. 66, No. 7, 1463-1474 (2013). MSC: 92D30 PDFBibTeX XMLCite \textit{M. G. Roberts}, J. Math. Biol. 66, No. 7, 1463--1474 (2013; Zbl 1402.92407) Full Text: DOI
Wang, Ya-Qi; Yang, Xiao-Yuan; Han, Yi-Liang; Wang, Xu-An Rumor spreading model with trust mechanism in complex social networks. (English) Zbl 1264.91107 Commun. Theor. Phys. 59, No. 4, 510-516 (2013). MSC: 91D30 91D99 82D30 34A34 PDFBibTeX XMLCite \textit{Y.-Q. Wang} et al., Commun. Theor. Phys. 59, No. 4, 510--516 (2013; Zbl 1264.91107) Full Text: DOI
Ball, Frank; Britton, Tom; Sirl, David A network with tunable clustering, degree correlation and degree distribution, and an epidemic thereon. (English) Zbl 1258.92031 J. Math. Biol. 66, No. 4-5, 979-1019 (2013). MSC: 92D30 92C42 05C80 60J80 65C05 PDFBibTeX XMLCite \textit{F. Ball} et al., J. Math. Biol. 66, No. 4--5, 979--1019 (2013; Zbl 1258.92031) Full Text: DOI arXiv
Xiao, Yanni; Zhao, Tingting; Tang, Sanyi Dynamics of an infectious diseases with media/psychology induced non-smooth incidence. (English) Zbl 1259.92061 Math. Biosci. Eng. 10, No. 2, 445-461 (2013). MSC: 92C50 91E99 PDFBibTeX XMLCite \textit{Y. Xiao} et al., Math. Biosci. Eng. 10, No. 2, 445--461 (2013; Zbl 1259.92061) Full Text: DOI