Mann-Manyombe, Martin L.; Mendy, Abdoulaye; Seydi, Ousmane; Djidjou-Demasse, Ramsès Linking within- and between-host scales for understanding the evolutionary dynamics of quantitative antimicrobial resistance. (English) Zbl 07770161 J. Math. Biol. 87, No. 6, Paper No. 78, 44 p. (2023). MSC: 37N25 35Bxx 92D30 PDF BibTeX XML Cite \textit{M. L. Mann-Manyombe} et al., J. Math. Biol. 87, No. 6, Paper No. 78, 44 p. (2023; Zbl 07770161) Full Text: DOI OA License
Yuan, Yuan; Yan, Dongxue; Fu, Xianlong Stability and persistence of a SEIRS model with multiple ages and delay. (English) Zbl 07739920 Commun. Pure Appl. Anal. 22, No. 9, 2894-2924 (2023). MSC: 92D30 34K20 35Q92 PDF BibTeX XML Cite \textit{Y. Yuan} et al., Commun. Pure Appl. Anal. 22, No. 9, 2894--2924 (2023; Zbl 07739920) Full Text: DOI
Yan, Dongxue; Zhang, Mengqi; Tang, Jiashan The global dynamics of an age-structured hand-foot-mouth disease model with saturation incidence and time delay. (English) Zbl 1515.92092 Discrete Dyn. Nat. Soc. 2023, Article ID 7090661, 21 p. (2023). MSC: 92D30 92C60 34K60 PDF BibTeX XML Cite \textit{D. Yan} et al., Discrete Dyn. Nat. Soc. 2023, Article ID 7090661, 21 p. (2023; Zbl 1515.92092) Full Text: DOI
Li, Xiaoguang; Cai, Liming; Murshed, Mohammad; Wang, Jin Dynamical analysis of an age-structured dengue model with asymptomatic infection. (English) Zbl 1512.92109 J. Math. Anal. Appl. 524, No. 2, Article ID 127127, 26 p. (2023). Reviewer: Hongying Shu (Xi’an) MSC: 92D30 34C23 35Q92 PDF BibTeX XML Cite \textit{X. Li} et al., J. Math. Anal. Appl. 524, No. 2, Article ID 127127, 26 p. (2023; Zbl 1512.92109) Full Text: DOI
Duan, Xi-Chao; Yuan, Sanling; Martcheva, Maia Habitat adaption promotes the evolution of predator species. (English) Zbl 1505.92252 Z. Angew. Math. Phys. 74, No. 1, Paper No. 10, 25 p. (2023). MSC: 92D40 92D25 35Q92 PDF BibTeX XML Cite \textit{X.-C. Duan} et al., Z. Angew. Math. Phys. 74, No. 1, Paper No. 10, 25 p. (2023; Zbl 1505.92252) Full Text: DOI
Yan, Dongxue; Yuan, Yuan; Fu, Xianlong Asymptotic analysis of an age-structured predator-prey model with ratio-dependent Holling III functional response and delays. (English) Zbl 1505.92174 Evol. Equ. Control Theory 12, No. 1, 391-414 (2023). MSC: 92D25 34D20 PDF BibTeX XML Cite \textit{D. Yan} et al., Evol. Equ. Control Theory 12, No. 1, 391--414 (2023; Zbl 1505.92174) Full Text: DOI
Duan, Xichao; Sun, Xiaosa; Yuan, Sanling Dynamics of an immune-epidemiological model with virus evolution and superinfection. (English) Zbl 1489.92149 J. Franklin Inst. 359, No. 7, 3210-3237 (2022). MSC: 92D30 92C32 92D15 PDF BibTeX XML Cite \textit{X. Duan} et al., J. Franklin Inst. 359, No. 7, 3210--3237 (2022; Zbl 1489.92149) Full Text: DOI
Yuan, Yuan; Fu, Xianlong Mathematical analysis of an age-structured HIV model with intracellular delay. (English) Zbl 1486.92301 Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2077-2106 (2022). MSC: 92D30 92C60 34D23 34C23 PDF BibTeX XML Cite \textit{Y. Yuan} and \textit{X. Fu}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 4, 2077--2106 (2022; Zbl 1486.92301) Full Text: DOI
Kenne, Cyrille; Zongo, Pascal; Dorville, René A mathematical model for tilapia lake virus transmission with waning immunity. (English) Zbl 1483.92135 J. Biol. Dyn. 16, No. 1, 98-116 (2022). MSC: 92D30 45K05 45M10 PDF BibTeX XML Cite \textit{C. Kenne} et al., J. Biol. Dyn. 16, No. 1, 98--116 (2022; Zbl 1483.92135) Full Text: DOI
Ghosh, Jayanta Kumar; Biswas, Sudhanshu Kumar; Sarkar, Susmita; Ghosh, Uttam Mathematical modelling of COVID-19: a case study of Italy. (English) Zbl 07478781 Math. Comput. Simul. 194, 1-18 (2022). MSC: 92-XX 91-XX PDF BibTeX XML Cite \textit{J. K. Ghosh} et al., Math. Comput. Simul. 194, 1--18 (2022; Zbl 07478781) Full Text: DOI
Song, Baojun Basic reinfection number and backward bifurcation. (English) Zbl 1501.92193 Math. Biosci. Eng. 18, No. 6, 8064-8083 (2021). MSC: 92D30 34C23 PDF BibTeX XML Cite \textit{B. Song}, Math. Biosci. Eng. 18, No. 6, 8064--8083 (2021; Zbl 1501.92193) Full Text: DOI
Duan, Xi-Chao; Cheng, Huanhuan; Martcheva, Maia; Yuan, Sanling Dynamics of an age structured heroin transmission model with imperfect vaccination. (English) Zbl 1471.92200 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2150157, 19 p. (2021). MSC: 92C60 34C23 34D20 PDF BibTeX XML Cite \textit{X.-C. Duan} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 10, Article ID 2150157, 19 p. (2021; Zbl 1471.92200) Full Text: DOI
Kenne, Cyrille; Dorville, René; Mophou, Gisèle; Zongo, Pascal An age-structured model for tilapia lake virus transmission in freshwater with vertical and horizontal transmission. (English) Zbl 1475.35356 Bull. Math. Biol. 83, No. 8, Paper No. 90, 35 p. (2021). MSC: 35Q92 35K57 35C07 35B35 35A01 35A02 92D30 92-08 PDF BibTeX XML Cite \textit{C. Kenne} et al., Bull. Math. Biol. 83, No. 8, Paper No. 90, 35 p. (2021; Zbl 1475.35356) Full Text: DOI HAL
Tuncer, Necibe; Giri, Sunil Dynamics of a vector-borne model with direct transmission and age of infection. (English) Zbl 1475.37104 Math. Model. Nat. Phenom. 16, Paper No. 28, 25 p. (2021). MSC: 37N25 92D30 92D25 PDF BibTeX XML Cite \textit{N. Tuncer} and \textit{S. Giri}, Math. Model. Nat. Phenom. 16, Paper No. 28, 25 p. (2021; Zbl 1475.37104) Full Text: DOI
Cao, Hui; Yan, Dongxue; Xu, Xiaxia Hopf bifurcation for an SIR model with age structure. (English) Zbl 1467.92180 Math. Model. Nat. Phenom. 16, Paper No. 7, 17 p. (2021). MSC: 92D30 34D20 35B35 PDF BibTeX XML Cite \textit{H. Cao} et al., Math. Model. Nat. Phenom. 16, Paper No. 7, 17 p. (2021; Zbl 1467.92180) Full Text: DOI
Tan, Hongwu; Yang, Xin; Cao, Hui The global dynamics for an age-structured SLIS model with the delay. (English) Zbl 1486.92287 Bound. Value Probl. 2020, Paper No. 107, 17 p. (2020). MSC: 92D30 34D23 35B35 PDF BibTeX XML Cite \textit{H. Tan} et al., Bound. Value Probl. 2020, Paper No. 107, 17 p. (2020; Zbl 1486.92287) Full Text: DOI
Mishra, A. M.; Purohit, S. D.; Owolabi, K. M.; Sharma, Y. D. A nonlinear epidemiological model considering asymptotic and quarantine classes for SARS CoV-2 virus. (English) Zbl 1490.92108 Chaos Solitons Fractals 138, Article ID 109953, 10 p. (2020). MSC: 92D30 92C60 PDF BibTeX XML Cite \textit{A. M. Mishra} et al., Chaos Solitons Fractals 138, Article ID 109953, 10 p. (2020; Zbl 1490.92108) Full Text: DOI
Das, Dhiraj Kumar; Khajanchi, Subhas; Kar, T. K. Transmission dynamics of tuberculosis with multiple re-infections. (English) Zbl 1489.92147 Chaos Solitons Fractals 130, Article ID 109450, 13 p. (2020). MSC: 92D30 37N25 92C60 PDF BibTeX XML Cite \textit{D. K. Das} et al., Chaos Solitons Fractals 130, Article ID 109450, 13 p. (2020; Zbl 1489.92147) Full Text: DOI
Cai, Liming; Li, Zhaoqing; Yang, Chayu; Wang, Jin Global analysis of an environmental disease transmission model linking within-host and between-host dynamics. (English) Zbl 1481.92133 Appl. Math. Modelling 86, 404-423 (2020). MSC: 92D30 35B35 35Q92 PDF BibTeX XML Cite \textit{L. Cai} et al., Appl. Math. Modelling 86, 404--423 (2020; Zbl 1481.92133) Full Text: DOI Link
Yan, Dongxue; Cao, Hui; Zhang, Suxia Global dynamics for a TB transmission model with age-structure and delay. (English) Zbl 1461.92125 Int. J. Biomath. 13, No. 7, Article ID 2050055, 28 p. (2020). MSC: 92D30 34K20 PDF BibTeX XML Cite \textit{D. Yan} et al., Int. J. Biomath. 13, No. 7, Article ID 2050055, 28 p. (2020; Zbl 1461.92125) Full Text: DOI
Wangari, Isaac Mwangi Condition for global stability for a SEIR model incorporating exogenous reinfection and primary infection mechanisms. (English) Zbl 1507.92123 Comput. Math. Methods Med. 2020, Article ID 9435819, 11 p. (2020). MSC: 92D30 92C60 34D05 34D23 PDF BibTeX XML Cite \textit{I. M. Wangari}, Comput. Math. Methods Med. 2020, Article ID 9435819, 11 p. (2020; Zbl 1507.92123) Full Text: DOI
Gulbudak, Hayriye An immuno-epidemiological vector-host model with within-vector viral kinetics. (English) Zbl 1451.92289 J. Biol. Syst. 28, No. 2, 233-275 (2020). MSC: 92D30 92C60 34D20 PDF BibTeX XML Cite \textit{H. Gulbudak}, J. Biol. Syst. 28, No. 2, 233--275 (2020; Zbl 1451.92289) Full Text: DOI arXiv
Cai, Liming; Fan, Gaoxu; Yang, Chayu; Wang, Jin Modeling and analyzing cholera transmission dynamics with vaccination age. (English) Zbl 1447.92216 J. Franklin Inst. 357, No. 12, 8008-8034 (2020). MSC: 92C60 PDF BibTeX XML Cite \textit{L. Cai} et al., J. Franklin Inst. 357, No. 12, 8008--8034 (2020; Zbl 1447.92216) Full Text: DOI Link
Wang, Xia; Chen, Yuming; Martcheva, Maia; Rong, Libin Asymptotic analysis of a vector-borne disease model with the age of infection. (English) Zbl 1447.92486 J. Biol. Dyn. 14, No. 1, 332-367 (2020). MSC: 92D30 35B35 PDF BibTeX XML Cite \textit{X. Wang} et al., J. Biol. Dyn. 14, No. 1, 332--367 (2020; Zbl 1447.92486) Full Text: DOI
Dang, Yan-Xia; Wang, Juan; Li, Xue-Zhi; Ghosh, Mini Global dynamics of a TB model with classes age structure and environmental transmission. (English) Zbl 1453.92291 Roy, Priti Kumar (ed.) et al., Mathematical analysis and applications in modeling. Selected papers presented at the international conference, ICMAAM 2018, Kolkata, India, January 9–12, 2018. Singapore: Springer. Springer Proc. Math. Stat. 302, 403-447 (2020). MSC: 92D30 92C60 35R09 35B35 35Q92 PDF BibTeX XML Cite \textit{Y.-X. Dang} et al., Springer Proc. Math. Stat. 302, 403--447 (2020; Zbl 1453.92291) Full Text: DOI
Yan, Dongxue; Fu, Xianlong Asymptotic analysis of an age-structured HIV infection model with logistic target-cell growth and two infecting routes. (English) Zbl 1442.35485 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 4, Article ID 2050059, 27 p. (2020). MSC: 35Q92 92C60 92D30 35B35 35B40 35B41 35B32 PDF BibTeX XML Cite \textit{D. Yan} and \textit{X. Fu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 4, Article ID 2050059, 27 p. (2020; Zbl 1442.35485) Full Text: DOI
Cao, Hui; Yan, Dongxue; Li, Ao Dynamic analysis of the recurrent epidemic model. (English) Zbl 1497.92241 Math. Biosci. Eng. 16, No. 5, 5972-5990 (2019). MSC: 92D30 34C23 PDF BibTeX XML Cite \textit{H. Cao} et al., Math. Biosci. Eng. 16, No. 5, 5972--5990 (2019; Zbl 1497.92241) Full Text: DOI
Yan, Dongxue; Cao, Hui; Xu, Xiaxia; Wang, Xiaoqin Hopf bifurcation for a predator-prey model with age structure. (English) Zbl 07566428 Physica A 526, Article ID 120953, 15 p. (2019). MSC: 82-XX 92D30 34D20 47E05 PDF BibTeX XML Cite \textit{D. Yan} et al., Physica A 526, Article ID 120953, 15 p. (2019; Zbl 07566428) Full Text: DOI
Cai, Liming; Liu, Jinliang; Fan, Gaoxu; Chen, Huidong Global dynamics of a cholera model with age-of-immunity structure and reinfection. (English) Zbl 1460.92189 J. Appl. Anal. Comput. 9, No. 5, 1731-1749 (2019). MSC: 92D30 35B35 34D23 PDF BibTeX XML Cite \textit{L. Cai} et al., J. Appl. Anal. Comput. 9, No. 5, 1731--1749 (2019; Zbl 1460.92189) Full Text: DOI
Sanchez, Fabio; Calvo, Juan G.; Segura, Esteban; Feng, Zhilan A partial differential equation model with age-structure and nonlinear recidivism: conditions for a backward bifurcation and a general numerical implementation. (English) Zbl 1443.92182 Comput. Math. Appl. 78, No. 12, 3916-3930 (2019). MSC: 92D30 65M06 PDF BibTeX XML Cite \textit{F. Sanchez} et al., Comput. Math. Appl. 78, No. 12, 3916--3930 (2019; Zbl 1443.92182) Full Text: DOI arXiv
Martcheva, Maia Methods for deriving necessary and sufficient conditions for backward bifurcation. (English) Zbl 1447.92449 J. Biol. Dyn. 13, No. 1, 538-566 (2019). MSC: 92D30 92C60 34C23 35B32 PDF BibTeX XML Cite \textit{M. Martcheva}, J. Biol. Dyn. 13, No. 1, 538--566 (2019; Zbl 1447.92449) Full Text: DOI
Yan, Dongxue; Cao, Hui The global dynamics for an age-structured tuberculosis transmission model with the exponential progression rate. (English) Zbl 1481.92172 Appl. Math. Modelling 75, 769-786 (2019). MSC: 92D30 34D20 34D23 PDF BibTeX XML Cite \textit{D. Yan} and \textit{H. Cao}, Appl. Math. Modelling 75, 769--786 (2019; Zbl 1481.92172) Full Text: DOI
Cao, Hui; Yan, Dongxue; Zhang, Suxia; Wang, Xiaoqin Analysis of dynamics of recurrent epidemics: periodic or non-periodic. (English) Zbl 1430.92093 Bull. Math. Biol. 81, No. 12, 4889-4907 (2019). Reviewer: E. Ahmed (Mansoura) MSC: 92D30 34C23 34C25 PDF BibTeX XML Cite \textit{H. Cao} et al., Bull. Math. Biol. 81, No. 12, 4889--4907 (2019; Zbl 1430.92093) Full Text: DOI
Cai, Li-Ming; Li, Zhaoqing; Liu, Jinliang Modeling and analyzing dynamics of malaria transmission with host immunity. (English) Zbl 1422.92142 Int. J. Biomath. 12, No. 6, Article ID 1950074, 24 p. (2019). MSC: 92D30 34D20 35Q92 PDF BibTeX XML Cite \textit{L.-M. Cai} et al., Int. J. Biomath. 12, No. 6, Article ID 1950074, 24 p. (2019; Zbl 1422.92142) Full Text: DOI
Xiang, Hong; Zou, Ming-Xuan; Huo, Hai-Feng Modeling the effects of health education and early therapy on tuberculosis transmission dynamics. (English) Zbl 1461.92123 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 3-4, 243-255 (2019). MSC: 92D30 92C60 34D23 PDF BibTeX XML Cite \textit{H. Xiang} et al., Int. J. Nonlinear Sci. Numer. Simul. 20, No. 3--4, 243--255 (2019; Zbl 1461.92123) Full Text: DOI
Pang, Jianhua; Chen, Jing; Liu, Zijian; Bi, Ping; Ruan, Shigui Local and global stabilities of a viral dynamics model with infection-age and immune response. (English) Zbl 1417.35210 J. Dyn. Differ. Equations 31, No. 2, 793-813 (2019). MSC: 35Q92 92C37 92C50 35B35 35B40 PDF BibTeX XML Cite \textit{J. Pang} et al., J. Dyn. Differ. Equations 31, No. 2, 793--813 (2019; Zbl 1417.35210) Full Text: DOI
Liu, Helong; Li, Liangbing An age-infection-structured HIV model with vertical transmission. (English) Zbl 1408.92033 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 26, No. 2, 71-89 (2019). MSC: 92D30 34D23 35Q92 PDF BibTeX XML Cite \textit{H. Liu} and \textit{L. Li}, Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 26, No. 2, 71--89 (2019; Zbl 1408.92033) Full Text: Link
Khajanchi, Subhas; Das, Dhiraj Kumar; Kar, Tapan Kumar Dynamics of tuberculosis transmission with exogenous reinfections and endogenous reactivation. (English) Zbl 1514.92137 Physica A 497, 52-71 (2018). MSC: 92D30 34C23 34D20 PDF BibTeX XML Cite \textit{S. Khajanchi} et al., Physica A 497, 52--71 (2018; Zbl 1514.92137) Full Text: DOI
Barfield, Michael; Martcheva, Maia; Tuncer, Necibe; Holt, Robert D. Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model. (English) Zbl 1447.92396 J. Biol. Dyn. 12, No. 1, 51-88 (2018). MSC: 92D30 92D40 34C23 35B32 35Q92 PDF BibTeX XML Cite \textit{M. Barfield} et al., J. Biol. Dyn. 12, No. 1, 51--88 (2018; Zbl 1447.92396) Full Text: DOI
Wang, J.; Guo, M.; Kuniya, T. Mathematical analysis for a multi-group SEIR epidemic model with age-dependent relapse. (English) Zbl 1394.35522 Appl. Anal. 97, No. 10, 1751-1770 (2018). MSC: 35Q92 37N25 92D30 35B40 35B41 35B35 PDF BibTeX XML Cite \textit{J. Wang} et al., Appl. Anal. 97, No. 10, 1751--1770 (2018; Zbl 1394.35522) Full Text: DOI
Cai, Li-Ming; Li, Zhaoqing; Song, Xinyu Global analysis of an epidemic model with vaccination. (English) Zbl 1395.92143 J. Appl. Math. Comput. 57, No. 1-2, 605-628 (2018). MSC: 92D30 34D23 PDF BibTeX XML Cite \textit{L.-M. Cai} et al., J. Appl. Math. Comput. 57, No. 1--2, 605--628 (2018; Zbl 1395.92143) Full Text: DOI Link
Gao, Yixian; Zhang, Weipeng; Liu, Dan; Yanju, Xiao Bifurcation analysis of an SIRS epidemic model with standard incidence rate and saturated treatment function. (English) Zbl 1474.34304 J. Appl. Anal. Comput. 7, No. 3, 1070-1094 (2017). MSC: 34C60 34C23 34D20 92D30 34D05 34C05 PDF BibTeX XML Cite \textit{Y. Gao} et al., J. Appl. Anal. Comput. 7, No. 3, 1070--1094 (2017; Zbl 1474.34304) Full Text: DOI
Xu, Jinhu; Geng, Yan; Zhou, Yicang Global dynamics for an age-structured HIV virus infection model with cellular infection and antiretroviral therapy. (English) Zbl 1411.92182 Appl. Math. Comput. 305, 62-83 (2017). MSC: 92C60 PDF BibTeX XML Cite \textit{J. Xu} et al., Appl. Math. Comput. 305, 62--83 (2017; Zbl 1411.92182) Full Text: DOI
Feng, Wen-Jing; Cai, Li-Ming; Liu, Kaihui Dynamics of a dengue epidemic model with class-age structure. (English) Zbl 1376.92061 Int. J. Biomath. 10, No. 8, Article ID 1750109, 23 p. (2017). MSC: 92D30 92D25 PDF BibTeX XML Cite \textit{W.-J. Feng} et al., Int. J. Biomath. 10, No. 8, Article ID 1750109, 23 p. (2017; Zbl 1376.92061) Full Text: DOI
Wang, Yan; Liu, Kaihui; Lou, Yijun An age-structured within-host HIV model with T-cell competition. (English) Zbl 1375.92036 Nonlinear Anal., Real World Appl. 38, 1-20 (2017). MSC: 92C60 92D30 35Q92 35B32 PDF BibTeX XML Cite \textit{Y. Wang} et al., Nonlinear Anal., Real World Appl. 38, 1--20 (2017; Zbl 1375.92036) Full Text: DOI
Dang, Yan-Xia; Qiu, Zhi-Peng; Li, Xue-Zhi; Martcheva, Maia Global dynamics of a vector-host epidemic model with age of infection. (English) Zbl 1365.92119 Math. Biosci. Eng. 14, No. 5-6, 1159-1186 (2017). MSC: 92D30 PDF BibTeX XML Cite \textit{Y.-X. Dang} et al., Math. Biosci. Eng. 14, No. 5--6, 1159--1186 (2017; Zbl 1365.92119) Full Text: DOI
Dang, Yanxia; Qiu, Zhipeng; Li, Xuezhi Competitive exclusion in an infection-age structured vector-host epidemic model. (English) Zbl 1366.92117 Math. Biosci. Eng. 14, No. 4, 901-931 (2017). MSC: 92D30 PDF BibTeX XML Cite \textit{Y. Dang} et al., Math. Biosci. Eng. 14, No. 4, 901--931 (2017; Zbl 1366.92117) Full Text: DOI
Yousef, A. M.; Salman, S. M. Backward bifurcation in a fractional-order SIRS epidemic model with a nonlinear incidence rate. (English) Zbl 1401.92208 Int. J. Nonlinear Sci. Numer. Simul. 17, No. 7-8, 401-412 (2016). MSC: 92D30 34A08 34C23 34C60 PDF BibTeX XML Cite \textit{A. M. Yousef} and \textit{S. M. Salman}, Int. J. Nonlinear Sci. Numer. Simul. 17, No. 7--8, 401--412 (2016; Zbl 1401.92208) Full Text: DOI
Gerberry, David J. Practical aspects of backward bifurcation in a mathematical model for tuberculosis. (English) Zbl 1343.92473 J. Theor. Biol. 388, 15-36 (2016). MSC: 92D30 34C23 PDF BibTeX XML Cite \textit{D. J. Gerberry}, J. Theor. Biol. 388, 15--36 (2016; Zbl 1343.92473) Full Text: DOI
Rapti, Z.; Cáceres, C. E. Effects of intrinsic and extrinsic host mortality on disease spread. (English) Zbl 1356.92088 Bull. Math. Biol. 78, No. 2, 235-253 (2016). MSC: 92D30 92D25 PDF BibTeX XML Cite \textit{Z. Rapti} and \textit{C. E. Cáceres}, Bull. Math. Biol. 78, No. 2, 235--253 (2016; Zbl 1356.92088) Full Text: DOI
Xiao, Yanju; Zhang, Weipeng; Deng, Guifeng; Liu, Zhehua Stability and Bogdanov-Takens bifurcation of an SIS epidemic model with saturated treatment function. (English) Zbl 1394.92131 Math. Probl. Eng. 2015, Article ID 745732, 14 p. (2015). MSC: 92D30 92C60 34C23 PDF BibTeX XML Cite \textit{Y. Xiao} et al., Math. Probl. Eng. 2015, Article ID 745732, 14 p. (2015; Zbl 1394.92131) Full Text: DOI
Martcheva, Maia; Li, Xue-Zhi Linking immunological and epidemiological dynamics of HIV: the case of super-infection. (English) Zbl 1447.92451 J. Biol. Dyn. 7, No. 1, 161-182 (2013). MSC: 92D30 92C32 PDF BibTeX XML Cite \textit{M. Martcheva} and \textit{X.-Z. Li}, J. Biol. Dyn. 7, No. 1, 161--182 (2013; Zbl 1447.92451) Full Text: DOI
Martcheva, Maia; Li, Xue-Zhi Competitive exclusion in an infection-age structured model with environmental transmission. (English) Zbl 1306.92047 J. Math. Anal. Appl. 408, No. 1, 225-246 (2013). MSC: 92D25 92D30 PDF BibTeX XML Cite \textit{M. Martcheva} and \textit{X.-Z. Li}, J. Math. Anal. Appl. 408, No. 1, 225--246 (2013; Zbl 1306.92047) Full Text: DOI
Gulbudak, Hayriye; Martcheva, Maia Forward hysteresis and backward bifurcation caused by culling in an avian influenza model. (English) Zbl 1281.92039 Math. Biosci. 246, No. 1, 202-212 (2013). MSC: 92C60 93C95 92D40 PDF BibTeX XML Cite \textit{H. Gulbudak} and \textit{M. Martcheva}, Math. Biosci. 246, No. 1, 202--212 (2013; Zbl 1281.92039) Full Text: DOI arXiv
Hasanbulli, Mustafa; Rogovchenko, Svitlana P.; Rogovchenko, Yuriy V. Dynamics of a single species in a fluctuating environment under periodic yield harvesting. (English) Zbl 1306.92044 J. Appl. Math. 2013, Article ID 167671, 12 p. (2013). MSC: 92D25 34C25 PDF BibTeX XML Cite \textit{M. Hasanbulli} et al., J. Appl. Math. 2013, Article ID 167671, 12 p. (2013; Zbl 1306.92044) Full Text: DOI
Martcheva, Maia An evolutionary model of influenza a with drift and shift. (English) Zbl 1447.92289 J. Biol. Dyn. 6, No. 2, 299-332 (2012). MSC: 92D15 92D30 34D23 PDF BibTeX XML Cite \textit{M. Martcheva}, J. Biol. Dyn. 6, No. 2, 299--332 (2012; Zbl 1447.92289) Full Text: DOI
Wang, Xiunan; Wang, Wendi An HIV infection model based on a vectored immunoprophylaxis experiment. (English) Zbl 1337.92220 J. Theor. Biol. 313, 127-135 (2012). MSC: 92D30 34C23 34D23 PDF BibTeX XML Cite \textit{X. Wang} and \textit{W. Wang}, J. Theor. Biol. 313, 127--135 (2012; Zbl 1337.92220) Full Text: DOI
Wei, Jingjing; Cui, Jing-An Dynamics of SIS epidemic model with the standard incidence rate and saturated treatment function. (English) Zbl 1280.92065 Int. J. Biomath. 5, No. 3, Article ID 1260003, 18 p. (2012). MSC: 92D30 34C23 34D20 PDF BibTeX XML Cite \textit{J. Wei} and \textit{J.-A. Cui}, Int. J. Biomath. 5, No. 3, Article ID 1260003, 18 p. (2012; Zbl 1280.92065) Full Text: DOI
Kar, T. K.; Mondal, Prasanta Kumar Global dynamics of a tuberculosis epidemic model and the influence of backward bifurcation. (English) Zbl 1270.34085 J. Math. Model. Algorithms 11, No. 4, 433-459 (2012). MSC: 34C23 92D30 34C60 34D05 PDF BibTeX XML Cite \textit{T. K. Kar} and \textit{P. K. Mondal}, J. Math. Model. Algorithms 11, No. 4, 433--459 (2012; Zbl 1270.34085) Full Text: DOI
Liu, Helong; Yu, Jingyuan; Zhu, Guangtian Global stability of an age-structured SIR epidemic model with pulse vaccination strategy. (English) Zbl 1255.93106 J. Syst. Sci. Complex. 25, No. 3, 417-429 (2012). MSC: 93D09 93A30 92D30 93C20 PDF BibTeX XML Cite \textit{H. Liu} et al., J. Syst. Sci. Complex. 25, No. 3, 417--429 (2012; Zbl 1255.93106) Full Text: DOI
Smith, Hal L.; Thieme, Horst R. Persistence of bacteria and phages in a chemostat. (English) Zbl 1303.92123 J. Math. Biol. 64, No. 6, 951-979 (2012). MSC: 92D30 34K25 34K60 PDF BibTeX XML Cite \textit{H. L. Smith} and \textit{H. R. Thieme}, J. Math. Biol. 64, No. 6, 951--979 (2012; Zbl 1303.92123) Full Text: DOI
Qiu, Zhipeng; Li, Xuezhi; Martcheva, Maia Multi-strain persistence induced by host age structure. (English) Zbl 1236.92049 J. Math. Anal. Appl. 391, No. 2, 595-612 (2012). MSC: 92D30 35Q92 37N25 65C20 PDF BibTeX XML Cite \textit{Z. Qiu} et al., J. Math. Anal. Appl. 391, No. 2, 595--612 (2012; Zbl 1236.92049) Full Text: DOI
Hilker, Frank M. Population collapse to extinction: the catastrophic combination of parasitism and Allee effect. (English) Zbl 1315.92060 J. Biol. Dyn. 4, No. 1, 86-101 (2010). MSC: 92D25 92D30 34C23 PDF BibTeX XML Cite \textit{F. M. Hilker}, J. Biol. Dyn. 4, No. 1, 86--101 (2010; Zbl 1315.92060) Full Text: DOI
Liu, Helong; Li, Lianbing A class age-structured HIV/AIDS model with impulsive drug-treatment strategy. (English) Zbl 1185.35298 Discrete Dyn. Nat. Soc. 2010, Article ID 758745, 12 p. (2010). MSC: 35Q92 92D30 92C60 92C50 35R12 PDF BibTeX XML Cite \textit{H. Liu} and \textit{L. Li}, Discrete Dyn. Nat. Soc. 2010, Article ID 758745, 12 p. (2010; Zbl 1185.35298) Full Text: DOI EuDML
Ducrot, A.; Sirima, S. B.; Somé, B.; Zongo, P. A mathematical model for malaria involving differential susceptibility, exposedness and infectivity of human host. (English) Zbl 1315.92076 J. Biol. Dyn. 3, No. 6, 574-598 (2009). MSC: 92D30 PDF BibTeX XML Cite \textit{A. Ducrot} et al., J. Biol. Dyn. 3, No. 6, 574--598 (2009; Zbl 1315.92076) Full Text: DOI
Zhang, Xu; Liu, Xianning Backward bifurcation and global dynamics of an SIS epidemic model with general incidence rate and treatment. (English) Zbl 1167.34338 Nonlinear Anal., Real World Appl. 10, No. 2, 565-575 (2009). MSC: 34C23 37N25 92D30 34D23 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{X. Liu}, Nonlinear Anal., Real World Appl. 10, No. 2, 565--575 (2009; Zbl 1167.34338) Full Text: DOI
Cui, Jinǵan; Mu, Xiaoxia; Wan, Hui Saturation recovery leads to multiple endemic equilibria and backward bifurcation. (English) Zbl 1400.92472 J. Theor. Biol. 254, No. 2, 275-283 (2008). MSC: 92D30 34C23 PDF BibTeX XML Cite \textit{J. Cui} et al., J. Theor. Biol. 254, No. 2, 275--283 (2008; Zbl 1400.92472) Full Text: DOI
Inaba, H.; Nishiura, H. The basic reproduction number of an infectious disease in a stable population: the impact of population growth rate on the eradication threshold. (English) Zbl 1337.92208 Math. Model. Nat. Phenom. 3, No. 7, 194-228 (2008). MSC: 92D30 92D25 PDF BibTeX XML Cite \textit{H. Inaba} and \textit{H. Nishiura}, Math. Model. Nat. Phenom. 3, No. 7, 194--228 (2008; Zbl 1337.92208) Full Text: DOI
Diekmann, O.; Gyllenberg, M. The second half – with a quarter of a century delay. (English) Zbl 1337.92173 Math. Model. Nat. Phenom. 3, No. 7, 36-48 (2008). MSC: 92D25 34K60 47D06 PDF BibTeX XML Cite \textit{O. Diekmann} and \textit{M. Gyllenberg}, Math. Model. Nat. Phenom. 3, No. 7, 36--48 (2008; Zbl 1337.92173) Full Text: DOI
Kawachi, Kazuki A note on persistence about structured population models. (English) Zbl 1315.92062 J. Biol. Dyn. 2, No. 4, 449-464 (2008). MSC: 92D25 92D30 35B40 PDF BibTeX XML Cite \textit{K. Kawachi}, J. Biol. Dyn. 2, No. 4, 449--464 (2008; Zbl 1315.92062) Full Text: DOI
Zhang, Xu; Liu, Xianning Backward bifurcation of an epidemic model with saturated treatment function. (English) Zbl 1144.92038 J. Math. Anal. Appl. 348, No. 1, 433-443 (2008). MSC: 92D30 34C23 34D05 34C60 34D23 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{X. Liu}, J. Math. Anal. Appl. 348, No. 1, 433--443 (2008; Zbl 1144.92038) Full Text: DOI
Martcheva, Maia; Bolker, Benjamin M. The impact of the Allee effect in dispersal and patch-occupancy age on the dynamics of metapopulations. (English) Zbl 1133.92356 Bull. Math. Biol. 69, No. 1, 135-156 (2007). MSC: 92D40 45J05 PDF BibTeX XML Cite \textit{M. Martcheva} and \textit{B. M. Bolker}, Bull. Math. Biol. 69, No. 1, 135--156 (2007; Zbl 1133.92356) Full Text: DOI
Martcheva, Maia; Pilyugin, Sergei S.; Holt, Robert D. Subthreshold and superthreshold coexistence of pathogen variants: The impact of host age-structure. (English) Zbl 1114.92059 Math. Biosci. 207, No. 1, 58-77 (2007). MSC: 92D30 PDF BibTeX XML Cite \textit{M. Martcheva} et al., Math. Biosci. 207, No. 1, 58--77 (2007; Zbl 1114.92059) Full Text: DOI
Nuño, M.; Chowell, G.; Wang, X.; Castillo-Chavez, C. On the role of cross-immunity and vaccines on the survival of less fit flu-strains. (English) Zbl 1118.92035 Theor. Popul. Biol. 71, No. 1, 20-29 (2007). MSC: 92C60 92D30 PDF BibTeX XML Cite \textit{M. Nuño} et al., Theor. Popul. Biol. 71, No. 1, 20--29 (2007; Zbl 1118.92035) Full Text: DOI
Liu, Helong; Yu, Jingyuan; Zhu, Guangtian Global asymptotic stable eradication for the SIV epidemic model with impulsive vaccination and infection-age. (English) Zbl 1114.35031 J. Syst. Sci. Complex. 19, No. 3, 393-402 (2006). MSC: 35B41 92D30 35R12 PDF BibTeX XML Cite \textit{H. Liu} et al., J. Syst. Sci. Complex. 19, No. 3, 393--402 (2006; Zbl 1114.35031) Full Text: DOI
Liu, Helong; Yu, Jingyuan; Zhu, Guangtian Analysis of a vector-host malaria model with impulsive effect and infection-age. (English) Zbl 1107.92031 Adv. Complex Syst. 9, No. 3, 237-248 (2006). MSC: 92C60 34A37 37N25 35Q80 34C25 PDF BibTeX XML Cite \textit{H. Liu} et al., Adv. Complex Syst. 9, No. 3, 237--248 (2006; Zbl 1107.92031) Full Text: DOI
Raimundo, Silvia Martorano; Yang, Hyun Mo Transmission of tuberculosis with exogenous re-infection and endogenous reactivation. (English) Zbl 1105.92010 Math. Popul. Stud. 13, No. 4, 181-203 (2006). MSC: 92C60 34D99 92C50 34C60 PDF BibTeX XML Cite \textit{S. M. Raimundo} and \textit{H. M. Yang}, Math. Popul. Stud. 13, No. 4, 181--203 (2006; Zbl 1105.92010) Full Text: DOI
Caraco, Thomas; Glavanakov, Stephan; Li, Shengua; Maniatty, William; Szymanski, Boleslaw K. Spatially structured superinfection and the evolution of disease virulence. (English) Zbl 1120.92035 Theor. Popul. Biol. 69, No. 4, 367-384 (2006). MSC: 92D30 60K35 PDF BibTeX XML Cite \textit{T. Caraco} et al., Theor. Popul. Biol. 69, No. 4, 367--384 (2006; Zbl 1120.92035) Full Text: DOI
Wang, Wendi Backward bifurcation of an epidemic model with treatment. (English) Zbl 1093.92054 Math. Biosci. 201, No. 1-2, 58-71 (2006). MSC: 92D30 34C60 34D23 PDF BibTeX XML Cite \textit{W. Wang}, Math. Biosci. 201, No. 1--2, 58--71 (2006; Zbl 1093.92054) 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 PDF BibTeX XML Cite \textit{H. Inaba}, Math. Biosci. 201, No. 1--2, 15--47 (2006; Zbl 1094.92053) Full Text: DOI
Liu, Helong; Xu, Houbao; Yu, Jingyuan; Zhu, Guangtian Stability results on age-structured SIS epidemic model with coupling impulsive effect. (English) Zbl 1098.92057 Discrete Dyn. Nat. Soc. 2006, No. 1, Article ID 83489, 11 p. (2006). MSC: 92D30 35B35 35Q92 35F20 35B40 PDF BibTeX XML Cite \textit{H. Liu} et al., Discrete Dyn. Nat. Soc. 2006, No. 1, Article ID 83489, 11 p. (2006; Zbl 1098.92057) Full Text: DOI EuDML
Liu, Helong; Xu, Houbao; Yu, Jingyuan; Zhu, Guangtian Global asymptotic stability for the SIV epidemic model with impulsive vaccination and infection age. (English) Zbl 1099.92066 J. Biol. Syst. 14, No. 1, 43-51 (2006). MSC: 92D30 34K20 92C60 34K13 PDF BibTeX XML Cite \textit{H. Liu} et al., J. Biol. Syst. 14, No. 1, 43--51 (2006; Zbl 1099.92066) Full Text: DOI
Martcheva, Maia; Thieme, Horst R. A metapopulation model with discrete size structure. (English) Zbl 1128.92050 Nat. Resour. Model. 18, No. 4, 379-413 (2005). MSC: 92D40 34K60 49N90 92D25 34K20 PDF BibTeX XML Cite \textit{M. Martcheva} and \textit{H. R. Thieme}, Nat. Resour. Model. 18, No. 4, 379--413 (2005; Zbl 1128.92050) Full Text: DOI
Inaba, Hisashi; Sekine, Hisashi A mathematical model for Chagas disease with infection-age-dependent infectivity. (English) Zbl 1049.92033 Math. Biosci. 190, No. 1, 39-69 (2004). MSC: 92D30 35Q92 35B35 92C60 45H05 37N25 35B32 PDF BibTeX XML Cite \textit{H. Inaba} and \textit{H. Sekine}, Math. Biosci. 190, No. 1, 39--69 (2004; Zbl 1049.92033) Full Text: DOI