Wang, Feng-Bin; Zhang, Lei; Zhao, Xiao-Qiang Basic reproduction ratios for time-periodic homogeneous evolution systems. (English) Zbl 1525.35168 SIAM J. Appl. Math. 83, No. 5, 1806-1831 (2023). MSC: 35K57 47H07 92D25 PDFBibTeX XMLCite \textit{F.-B. Wang} et al., SIAM J. Appl. Math. 83, No. 5, 1806--1831 (2023; Zbl 1525.35168) Full Text: DOI
Delmas, Jean-François; Dronnier, Dylan; Zitt, Pierre-André Optimal vaccination: various (counter) intuitive examples. (English) Zbl 1506.92055 J. Math. Biol. 86, No. 2, Paper No. 26, 57 p. (2023). MSC: 92C60 47B34 47A10 PDFBibTeX XMLCite \textit{J.-F. Delmas} et al., J. Math. Biol. 86, No. 2, Paper No. 26, 57 p. (2023; Zbl 1506.92055) Full Text: DOI arXiv
Ndongo, Mamadou Sadio; Ndiaye, Papa Ibrahima; Faye, Ibrahima Aedes vertical transmission logistic growth mathematical model for assessing arboviruses maintenance in environment: a positive semigroup approach. (English) Zbl 07799424 Seck, Diaraf (ed.) et al., Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25–30, 2022. Cham: Springer. Trends Math., 57-81 (2022). MSC: 34C60 92D30 92D40 34G10 34D05 47D03 PDFBibTeX XMLCite \textit{M. S. Ndongo} et al., in: Nonlinear analysis, geometry and applications. Proceedings of the second NLAGA-BIRS symposium, Cap Skirring, Senegal, January 25--30, 2022. Cham: Springer. 57--81 (2022; Zbl 07799424) Full Text: DOI
El Hassnaoui, Mariam; Melliani, Said; Oukessou, Mohamed Application of accretive operators theory to linear SIR model. (English) Zbl 1524.92091 Nonlinear Dyn. Syst. Theory 22, No. 4, 379-389 (2022). MSC: 92D30 92C60 47H06 35F10 PDFBibTeX XMLCite \textit{M. El Hassnaoui} et al., Nonlinear Dyn. Syst. Theory 22, No. 4, 379--389 (2022; Zbl 1524.92091) Full Text: Link
Thieme, Horst R. Discrete-time dynamics of structured populations via Feller kernels. (English) Zbl 1481.92119 Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 1091-1119 (2022). MSC: 92D25 28C15 47N60 PDFBibTeX XMLCite \textit{H. R. Thieme}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 2, 1091--1119 (2022; Zbl 1481.92119) Full Text: DOI
Richard, Quentin; Choisy, Marc; Lefèvre, Thierry; Djidjou-Demasse, Ramsès Human-vector malaria transmission model structured by age, time since infection and waning immunity. (English) Zbl 1480.92212 Nonlinear Anal., Real World Appl. 63, Article ID 103393, 34 p. (2022). MSC: 92D30 47D62 34C23 35Q92 PDFBibTeX XMLCite \textit{Q. Richard} et al., Nonlinear Anal., Real World Appl. 63, Article ID 103393, 34 p. (2022; Zbl 1480.92212) Full Text: DOI arXiv
Kang, Hao; Ruan, Shigui Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion. (English) Zbl 1473.35599 J. Math. Biol. 83, No. 1, Paper No. 5, 30 p. (2021). MSC: 35Q92 35L60 35B40 92D25 92D30 47H07 35A01 35A02 PDFBibTeX XMLCite \textit{H. Kang} and \textit{S. Ruan}, J. Math. Biol. 83, No. 1, Paper No. 5, 30 p. (2021; Zbl 1473.35599) Full Text: DOI
Kang, Hao; Huo, Xi; Ruan, Shigui On first-order hyperbolic partial differential equations with two internal variables modeling population dynamics of two physiological structures. (English) Zbl 1461.35144 Ann. Mat. Pura Appl. (4) 200, No. 2, 403-452 (2021). MSC: 35L04 92D25 47A10 47D06 PDFBibTeX XMLCite \textit{H. Kang} et al., Ann. Mat. Pura Appl. (4) 200, No. 2, 403--452 (2021; Zbl 1461.35144) Full Text: DOI
Breda, Dimitri; Florian, Francesco; Ripoll, Jordi; Vermiglio, Rossana Efficient numerical computation of the basic reproduction number for structured populations. (English) Zbl 1466.65152 J. Comput. Appl. Math. 384, Article ID 113165, 15 p. (2021). MSC: 65M70 65F15 65J10 92D25 92D30 92D40 47D06 47A75 PDFBibTeX XMLCite \textit{D. Breda} et al., J. Comput. Appl. Math. 384, Article ID 113165, 15 p. (2021; Zbl 1466.65152) Full Text: DOI arXiv Link
Richard, Quentin Global stability in a competitive infection-age structured model. (English) Zbl 1469.35028 Math. Model. Nat. Phenom. 15, Paper No. 54, 39 p. (2020). MSC: 35B35 35B40 35L45 47D62 92D30 PDFBibTeX XMLCite \textit{Q. Richard}, Math. Model. Nat. Phenom. 15, Paper No. 54, 39 p. (2020; Zbl 1469.35028) Full Text: DOI arXiv
Breda, Dimitri; Kuniya, Toshikazu; Ripoll, Jordi; Vermiglio, Rossana Collocation of next-generation operators for computing the basic reproduction number of structured populations. (English) Zbl 1453.92006 J. Sci. Comput. 85, No. 2, Paper No. 40, 32 p. (2020). MSC: 92-08 65J10 65L60 37N25 47A75 92D25 PDFBibTeX XMLCite \textit{D. Breda} et al., J. Sci. Comput. 85, No. 2, Paper No. 40, 32 p. (2020; Zbl 1453.92006) Full Text: DOI
Johnstone-Robertson, Simon P.; Diuk-Wasser, Maria A.; Davis, Stephen A. Incorporating tick feeding behaviour into \(R_0\) for tick-borne pathogens. (English) Zbl 1516.92108 Theor. Popul. Biol. 131, 25-37 (2020). MSC: 92D30 47A75 92C42 PDFBibTeX XMLCite \textit{S. P. Johnstone-Robertson} et al., Theor. Popul. Biol. 131, 25--37 (2020; Zbl 1516.92108) Full Text: DOI
Yang, Fei-Ying; Li, Wan-Tong; Ruan, Shigui Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions. (English) Zbl 1416.35285 J. Differ. Equations 267, No. 3, 2011-2051 (2019). MSC: 35Q92 35B40 45A05 45F05 47G20 92D30 PDFBibTeX XMLCite \textit{F.-Y. Yang} et al., J. Differ. Equations 267, No. 3, 2011--2051 (2019; Zbl 1416.35285) Full Text: DOI
Barril, Carles; Calsina, Àngel; Ripoll, Jordi On the reproduction number of a gut microbiota model. (English) Zbl 1382.92214 Bull. Math. Biol. 79, No. 11, 2727-2746 (2017). MSC: 92D25 35F46 47A75 92C99 PDFBibTeX XMLCite \textit{C. Barril} et al., Bull. Math. Biol. 79, No. 11, 2727--2746 (2017; Zbl 1382.92214) Full Text: DOI
Ducrot, Arnaud; Magal, Pierre; Seydi, Ousmane Singular perturbation for an abstract non-densely defined Cauchy problem. (English) Zbl 1387.34089 J. Evol. Equ. 17, No. 3, 1089-1128 (2017). Reviewer: Vasile Dragan (Bucureşti) MSC: 34E15 34K26 34G20 35B25 47D62 92D25 34A12 PDFBibTeX XMLCite \textit{A. Ducrot} et al., J. Evol. Equ. 17, No. 3, 1089--1128 (2017; Zbl 1387.34089) Full Text: DOI
Kuniya, Toshikazu Numerical approximation of the basic reproduction number for a class of age-structured epidemic models. (English) Zbl 1377.92090 Appl. Math. Lett. 73, 106-112 (2017). MSC: 92D30 47A10 35Q92 PDFBibTeX XMLCite \textit{T. Kuniya}, Appl. Math. Lett. 73, 106--112 (2017; Zbl 1377.92090) Full Text: DOI
Yang, Fei-Ying; Li, Wan-Tong Dynamics of a nonlocal dispersal SIS epidemic model. (English) Zbl 1364.35390 Commun. Pure Appl. Anal. 16, No. 3, 781-797 (2017). MSC: 35Q92 35B40 45A05 45F05 47G20 92D30 92C60 PDFBibTeX XMLCite \textit{F.-Y. Yang} and \textit{W.-T. Li}, Commun. Pure Appl. Anal. 16, No. 3, 781--797 (2017; Zbl 1364.35390) Full Text: DOI arXiv
Thieme, Horst R. Spectral radii and Collatz-Wielandt numbers for homogeneous order-preserving maps and the monotone companion norm. (English) Zbl 1411.47012 de Jeu, Marcel (ed.) et al., Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22–26, 2013. Basel: Birkhäuser/Springer. Trends Math., 415-467 (2016). MSC: 47H07 47J10 47N60 PDFBibTeX XMLCite \textit{H. R. Thieme}, in: Ordered structures and applications. Positivity VII (Zaanen centennial conference), Leiden, the Netherlands, July 22--26, 2013. Basel: Birkhäuser/Springer. 415--467 (2016; Zbl 1411.47012) Full Text: DOI arXiv
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
Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui Normal forms for an age structured model. (English) Zbl 1350.35021 J. Dyn. Differ. Equations 28, No. 3-4, 733-761 (2016). MSC: 35B32 34C20 37L10 35Q92 47D06 35B10 PDFBibTeX XMLCite \textit{J. Chu} et al., J. Dyn. Differ. Equations 28, No. 3--4, 733--761 (2016; Zbl 1350.35021) Full Text: DOI
Jin, Wen; Smith, Hal L.; Thieme, Horst R. Persistence and critical domain size for diffusing populations with two sexes and short reproductive season. (English) Zbl 1369.92097 J. Dyn. Differ. Equations 28, No. 3-4, 689-705 (2016). MSC: 92D25 37N25 47B65 PDFBibTeX XMLCite \textit{W. Jin} et al., J. Dyn. Differ. Equations 28, No. 3--4, 689--705 (2016; Zbl 1369.92097) Full Text: DOI
Yamazaki, Kazuo; Wang, Xueying Global well-posedness and asymptotic behavior of solutions to a reaction-convection-diffusion cholera epidemic model. (English) Zbl 1346.35200 Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1297-1316 (2016). MSC: 35Q92 35B65 35K57 47H20 92D30 PDFBibTeX XMLCite \textit{K. Yamazaki} and \textit{X. Wang}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 4, 1297--1316 (2016; Zbl 1346.35200) Full Text: DOI
Liu, He-Long; Yu, Jing-Yuan; Zhu, Guang-Tian Stability results for an age-structured SIS epidemic model with vector population. (English) Zbl 1344.92171 J. Appl. Math. 2015, Article ID 838312, 12 p. (2015). MSC: 92D30 92D25 47G10 PDFBibTeX XMLCite \textit{H.-L. Liu} et al., J. Appl. Math. 2015, Article ID 838312, 12 p. (2015; Zbl 1344.92171) Full Text: DOI
Ackleh, Azmy S.; Farkas, József Z. On the net reproduction rate of continuous structured populations with distributed states at birth. (English) Zbl 1347.92057 Comput. Math. Appl. 66, No. 9, 1685-1694 (2013). MSC: 92D25 47A10 47A60 PDFBibTeX XMLCite \textit{A. S. Ackleh} and \textit{J. Z. Farkas}, Comput. Math. Appl. 66, No. 9, 1685--1694 (2013; Zbl 1347.92057) Full Text: DOI arXiv
Kuniya, Toshikazu; Inaba, Hisashi Endemic threshold results for an age-structured SIS epidemic model with periodic parameters. (English) Zbl 1263.92041 J. Math. Anal. Appl. 402, No. 2, 477-492 (2013). MSC: 92D30 35B10 35L50 47G10 35Q92 47N60 PDFBibTeX XMLCite \textit{T. Kuniya} and \textit{H. Inaba}, J. Math. Anal. Appl. 402, No. 2, 477--492 (2013; Zbl 1263.92041) Full Text: DOI
Zhang, Tailei; Liu, Junli; Teng, Zhidong Existence of positive periodic solutions of an SEIR model with periodic coefficients. (English) Zbl 1274.34150 Appl. Math., Praha 57, No. 6, 601-616 (2012). Reviewer: Milan Tvrdý (Praha) MSC: 34C60 34C25 92D30 47N20 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Math., Praha 57, No. 6, 601--616 (2012; Zbl 1274.34150) Full Text: DOI Link
Bacaër, Nicolas; Ait Dads, El Hadi Genealogy with seasonality, the basic reproduction number, and the influenza pandemic. (English) Zbl 1232.92063 J. Math. Biol. 62, No. 5, 741-762 (2011). MSC: 92D30 35Q92 47G10 60K05 47A10 PDFBibTeX XMLCite \textit{N. Bacaër} and \textit{E. H. Ait Dads}, J. Math. Biol. 62, No. 5, 741--762 (2011; Zbl 1232.92063) Full Text: DOI HAL
Franceschetti, Andrea; Pugliese, Andrea Threshold behaviour of a SIR epidemic model with age structure and immigration. (English) Zbl 1141.92037 J. Math. Biol. 57, No. 1, 1-27 (2008). MSC: 92D30 45G10 47N60 35F25 35Q92 46N60 PDFBibTeX XMLCite \textit{A. Franceschetti} and \textit{A. Pugliese}, J. Math. Biol. 57, No. 1, 1--27 (2008; Zbl 1141.92037) Full Text: DOI
Inaba, Hisashi Endemic threshold results in an age-duration-structured population model for HIV infection. (English) Zbl 1094.92053 Math. Biosci. 201, No. 1-2, 15-47 (2006). MSC: 92D30 35B32 35B35 35Q92 47N60 PDFBibTeX XMLCite \textit{H. Inaba}, Math. Biosci. 201, No. 1--2, 15--47 (2006; Zbl 1094.92053) Full Text: DOI
Barbour, A. D.; Pugliese, A. Asymptotic behavior of a metapopulation model. (English) Zbl 1137.37331 Ann. Appl. Probab. 15, No. 2, 1306-1338 (2005). MSC: 37L15 92D40 34G20 47J35 60J27 92D25 PDFBibTeX XMLCite \textit{A. D. Barbour} and \textit{A. Pugliese}, Ann. Appl. Probab. 15, No. 2, 1306--1338 (2005; Zbl 1137.37331) Full Text: DOI arXiv
Jiang, Jifa; Liang, Xing; Zhao, Xiao-Qiang Saddle-point behavior for monotone semiflows and reaction-diffusion models. (English) Zbl 1063.35083 J. Differ. Equations 203, No. 2, 313-330 (2004). Reviewer: Domingo Salazar (Coventry) MSC: 35K57 37C65 47H07 92D25 PDFBibTeX XMLCite \textit{J. Jiang} et al., J. Differ. Equations 203, No. 2, 313--330 (2004; Zbl 1063.35083) Full Text: DOI
Koliha, J. J.; Tran, Trung Dinh Closed semistable operators and singular differential equations. (English) Zbl 1080.47500 Czech. Math. J. 53, No. 3, 605-620 (2003). MSC: 47A10 47A60 34G10 PDFBibTeX XMLCite \textit{J. J. Koliha} and \textit{T. D. Tran}, Czech. Math. J. 53, No. 3, 605--620 (2003; Zbl 1080.47500) Full Text: DOI EuDML