Bai, Fan An age-of-infection model with both symptomatic and asymptomatic infections. (English) Zbl 1512.92090 J. Math. Biol. 86, No. 5, Paper No. 82, 22 p. (2023). MSC: 92D30 45J05 PDFBibTeX XMLCite \textit{F. Bai}, J. Math. Biol. 86, No. 5, Paper No. 82, 22 p. (2023; Zbl 1512.92090) Full Text: DOI arXiv
Pang, Guodong; Pardoux, Étienne Functional law of large numbers and PDEs for epidemic models with infection-age dependent infectivity. (English) Zbl 1511.92084 Appl. Math. Optim. 87, No. 3, Paper No. 50, 45 p. (2023). MSC: 92D30 45D05 35Q92 PDFBibTeX XMLCite \textit{G. Pang} and \textit{É. Pardoux}, Appl. Math. Optim. 87, No. 3, Paper No. 50, 45 p. (2023; Zbl 1511.92084) Full Text: DOI arXiv
Forien, Raphaël; Pang, Guodong; Pardoux, Etienne Recent advances in epidemic modeling: non-Markov stochastic models and their scaling limits. (English) Zbl 1519.92252 Grad. J. Math. 7, No. 2, 19-75 (2022). MSC: 92D30 60F05 60H30 45R05 35R60 35Q92 92-02 PDFBibTeX XMLCite \textit{R. Forien} et al., Grad. J. Math. 7, No. 2, 19--75 (2022; Zbl 1519.92252) Full Text: arXiv Link
Messina, Eleonora; Pezzella, Mario; Vecchio, Antonia A non-standard numerical scheme for an age-of-infection epidemic model. (English) Zbl 1492.65366 J. Comput. Dyn. 9, No. 2, 239-252 (2022). MSC: 65R20 45D05 92-08 92D30 PDFBibTeX XMLCite \textit{E. Messina} et al., J. Comput. Dyn. 9, No. 2, 239--252 (2022; Zbl 1492.65366) Full Text: DOI arXiv
Pertsev, N. V.; Loginov, K. K.; Topchii, V. A. Analysis of an epidemic mathematical model based on delay differential equations. (Russian. English summary) Zbl 1505.92220 Sib. Zh. Ind. Mat. 23, No. 2, 119-132 (2020); translation in J. Appl. Ind. Math. 14, No. 2, 396-406 (2020). MSC: 92D30 34K60 45E10 PDFBibTeX XMLCite \textit{N. V. Pertsev} et al., Sib. Zh. Ind. Mat. 23, No. 2, 119--132 (2020; Zbl 1505.92220); translation in J. Appl. Ind. Math. 14, No. 2, 396--406 (2020) Full Text: DOI MNR
Erdem, Mustafa; Safan, Muntaser; Castillo-Chavez, Carlos A delay differential equations model for disease transmision dynamics. (English) Zbl 1513.92068 Rev. Mat. Teor. Apl. 27, No. 1, 49-71 (2020). MSC: 92D30 34K60 45J05 PDFBibTeX XMLCite \textit{M. Erdem} et al., Rev. Mat. Teor. Apl. 27, No. 1, 49--71 (2020; Zbl 1513.92068) Full Text: DOI
Logak, Elisabeth; Passat, Isabelle An epidemic model with nonlocal diffusion on networks. (English) Zbl 1356.35266 Netw. Heterog. Media 11, No. 4, 693-719 (2016). MSC: 35Q92 35B35 35B40 35B51 45J05 47G20 92C42 92D30 PDFBibTeX XMLCite \textit{E. Logak} and \textit{I. Passat}, Netw. Heterog. Media 11, No. 4, 693--719 (2016; Zbl 1356.35266) Full Text: DOI
Ainseba, B. E.; Bouguima, S. M.; Fekih, S. Biological consistency of an epidemic model with both vertical and horizontal transmissions. (English) Zbl 1371.92115 Nonlinear Anal., Real World Appl. 28, 192-207 (2016). MSC: 92D30 45J05 PDFBibTeX XMLCite \textit{B. E. Ainseba} et al., Nonlinear Anal., Real World Appl. 28, 192--207 (2016; Zbl 1371.92115) Full Text: DOI
Bowman, Christopher S.; Arino, Julien; Moghadas, S. M. Evaluation of vaccination strategies during pandemic outbreaks. (English) Zbl 1259.92069 Math. Biosci. Eng. 8, No. 1, 113-122 (2011). MSC: 92C60 92D30 34K60 45J05 PDFBibTeX XMLCite \textit{C. S. Bowman} et al., Math. Biosci. Eng. 8, No. 1, 113--122 (2011; Zbl 1259.92069) Full Text: DOI
Yang, Christine K.; Brauer, Fred Calculation of \({\mathcal R}_0\) for age-of-infection models. (English) Zbl 1158.92037 Math. Biosci. Eng. 5, No. 3, 585-599 (2008). MSC: 92D30 92-08 45J05 PDFBibTeX XMLCite \textit{C. K. Yang} and \textit{F. Brauer}, Math. Biosci. Eng. 5, No. 3, 585--599 (2008; Zbl 1158.92037) Full Text: DOI Link
Delgado, Manuel; Molina-Becerra, Mónica; Suárez, Antonio Analysis of an age-structured predator-prey model with disease in the prey. (English) Zbl 1102.92049 Nonlinear Anal., Real World Appl. 7, No. 4, 853-871 (2006). MSC: 92D40 92D30 45K05 45M99 92D25 PDFBibTeX XMLCite \textit{M. Delgado} et al., Nonlinear Anal., Real World Appl. 7, No. 4, 853--871 (2006; Zbl 1102.92049) Full Text: DOI
Xu, Dashun; Zhao, Xiao-Qiang Asymptotic speed of spread and traveling waves for a nonlocal epidemic model. (English) Zbl 1090.35089 Discrete Contin. Dyn. Syst., Ser. B 5, No. 4, 1043-1056 (2005). Reviewer: Mohamed O. El-Doma (Beirut) MSC: 35K45 35K57 65M06 65C20 92D30 45K05 PDFBibTeX XMLCite \textit{D. Xu} and \textit{X.-Q. Zhao}, Discrete Contin. Dyn. Syst., Ser. B 5, No. 4, 1043--1056 (2005; Zbl 1090.35089) Full Text: DOI
Brauer, Fred The analysis of some characteristic equations arising in population and epidemic models. (English) Zbl 1056.92051 J. Dyn. Differ. Equations 16, No. 2, 441-453 (2004). MSC: 92D30 44A10 45D05 34K20 PDFBibTeX XMLCite \textit{F. Brauer}, J. Dyn. Differ. Equations 16, No. 2, 441--453 (2004; Zbl 1056.92051) Full Text: DOI
Colombo, F. An inverse problem for a generalized Kermack-McKendrick model. (English) Zbl 1023.92023 J. Inverse Ill-Posed Probl. 10, No. 3, 221-241 (2002). Reviewer: Messoud Efendiev (Berlin) MSC: 92D30 35R30 45K05 47N20 PDFBibTeX XMLCite \textit{F. Colombo}, J. Inverse Ill-Posed Probl. 10, No. 3, 221--241 (2002; Zbl 1023.92023) Full Text: DOI
Takeuchi, Y.; Ma, W.; Beretta, E. Delay effect on threshold properties of SIR epidemic models. (English) Zbl 0985.92034 Chen, Lansun (ed.) et al., Advanced topics in biomathematics. Proceedings of the international conference on mathematical biology, Zhejiang Agricultural Univ., Hangzhou, China, May 26-29, 1997. Singapore: World Scientific. 247-252 (1998). MSC: 92D30 34K20 45J05 PDFBibTeX XMLCite \textit{Y. Takeuchi} et al., in: Advanced topics in biomathematics. Proceedings of the international conference on mathematical biology, Zhejiang Agricultural Univ., Hangzhou, China, May 26--29, 1997. Singapore: World Scientific. 247--252 (1998; Zbl 0985.92034)
Hao, Dun Yuan On a conjecture of H. W. Hethcote. (Chinese. English summary) Zbl 1332.92070 J. Inn. Mong. Univ. 24, No. 2, 142-145 (1993). MSC: 92D30 45D05 PDFBibTeX XMLCite \textit{D. Y. Hao}, J. Inn. Mong. Univ. 24, No. 2, 142--145 (1993; Zbl 1332.92070)
Hao, Dun-Yuan; Brauer, Fred Analysis of a characteristic equation. (English) Zbl 0756.45014 J. Integral Equations Appl. 3, No. 1, 239-254 (1991). Reviewer: C.Constanda (Glasgow) MSC: 45J05 92D30 PDFBibTeX XMLCite \textit{D.-Y. Hao} and \textit{F. Brauer}, J. Integral Equations Appl. 3, No. 1, 239--254 (1991; Zbl 0756.45014) Full Text: DOI
Pachpatte, B. G. On mixed Volterra-Fredholm type integral equations. (English) Zbl 0597.45012 Indian J. Pure Appl. Math. 17, 488-496 (1986). Reviewer: J.F.Toland MSC: 45K05 45G10 PDFBibTeX XMLCite \textit{B. G. Pachpatte}, Indian J. Pure Appl. Math. 17, 488--496 (1986; Zbl 0597.45012)
Hethcote, Herbert W.; Thieme, Horst R. Stability of the endemic equilibrium in epidemic models with subpopulations. (English) Zbl 0582.92024 Math. Biosci. 75, 205-227 (1985). Reviewer: G.Gripenberg MSC: 92D25 45M10 PDFBibTeX XMLCite \textit{H. W. Hethcote} and \textit{H. R. Thieme}, Math. Biosci. 75, 205--227 (1985; Zbl 0582.92024) Full Text: DOI
Hadeler, K. P. Models for endemic diseases. (English) Zbl 0567.92015 Mathematics in biology and medicine, Proc. Int. Conf. Bari/Italy 1983, Lect. Notes Biomath. 57, 127-134 (1985). Reviewer: J.Dvořák MSC: 92D25 35G15 45E99 PDFBibTeX XML
Thieme, Horst R. Renewal theorems for some mathematical models in epidemiology. (English) Zbl 0565.92020 J. Integral Equations 8, 185-216 (1985). Reviewer: G.Gripenberg MSC: 92D25 45D05 PDFBibTeX XMLCite \textit{H. R. Thieme}, J. Integral Equations 8, 185--216 (1985; Zbl 0565.92020)
Radcliffe, J.; Rass, L. The spatial spread and final size of models for the deterministic host- vector epidemic. (English) Zbl 0567.92018 Math. Biosci. 70, 123-146 (1984). Reviewer: C.A.Braumann MSC: 92D25 45J05 PDFBibTeX XMLCite \textit{J. Radcliffe} and \textit{L. Rass}, Math. Biosci. 70, 123--146 (1984; Zbl 0567.92018) Full Text: DOI
Gripenberg, Gustaf On some epidemic models. (English) Zbl 0476.92017 Q. Appl. Math. 39, 317-327 (1981). MSC: 92D25 45E10 45M99 45E99 PDFBibTeX XMLCite \textit{G. Gripenberg}, Q. Appl. Math. 39, 317--327 (1981; Zbl 0476.92017) Full Text: DOI
Hethcote, Herbert W.; Stech, Harlan W.; van den Driessche, P. Nonlinear oscillations in epidemic models. (English) Zbl 0469.92012 SIAM J. Appl. Math. 40, 1-9 (1981). MSC: 92D25 45M10 45J05 PDFBibTeX XMLCite \textit{H. W. Hethcote} et al., SIAM J. Appl. Math. 40, 1--9 (1981; Zbl 0469.92012) Full Text: DOI
Stech, Harlan; Williams, Michael Stability in a class of cyclic epidemic models with delay. (English) Zbl 0449.92022 J. Math. Biol. 11, 95-103 (1981). MSC: 92D25 45M10 45D05 PDFBibTeX XMLCite \textit{H. Stech} and \textit{M. Williams}, J. Math. Biol. 11, 95--103 (1981; Zbl 0449.92022) Full Text: DOI
Wang, Frank J. S. Asymptotic behavior of some deterministic epidemic models. (English) Zbl 0417.92020 SIAM J. Math. Anal. 9, 529-534 (1978). MSC: 92D25 45D05 45M05 PDFBibTeX XMLCite \textit{F. J. S. Wang}, SIAM J. Math. Anal. 9, 529--534 (1978; Zbl 0417.92020) Full Text: DOI