Liberman, Uri; Ram, Yoav; Altenberg, Lee; Feldman, Marcus W. The evolution of frequency-dependent cultural transmission. (English) Zbl 07186944 Theor. Popul. Biol. 132, 69-81 (2020). MSC: 92 PDF BibTeX XML Cite \textit{U. Liberman} et al., Theor. Popul. Biol. 132, 69--81 (2020; Zbl 07186944) Full Text: DOI
Li, Fuxiang; Liu, Junli; Zhao, Xiao-Qiang A West Nile virus model with vertical transmission and periodic time delays. (English) Zbl 1431.34078 J. Nonlinear Sci. 30, No. 1, 449-486 (2020). MSC: 34K13 37N25 92D30 34K60 PDF BibTeX XML Cite \textit{F. Li} et al., J. Nonlinear Sci. 30, No. 1, 449--486 (2020; Zbl 1431.34078) Full Text: DOI
Köhnke, M. C.; Malchow, H. Disease-induced chaos, coexistence, oscillations, and invasion failure in a competition-model with strong Allee effect. (English) Zbl 1432.92107 Math. Biosci. 317, Article ID 108267, 16 p. (2019). MSC: 92D40 92D30 92D25 35Q92 PDF BibTeX XML Cite \textit{M. C. Köhnke} and \textit{H. Malchow}, Math. Biosci. 317, Article ID 108267, 16 p. (2019; Zbl 1432.92107) Full Text: DOI
Wang, Feng-Bin; Wu, Ruiwen; Zhao, Xiao-Qiang A West Nile virus transmission model with periodic incubation periods. (English) Zbl 1423.35187 SIAM J. Appl. Dyn. Syst. 18, No. 3, 1498-1535 (2019). MSC: 35K55 37C65 92D25 35Q92 PDF BibTeX XML Cite \textit{F.-B. Wang} et al., SIAM J. Appl. Dyn. Syst. 18, No. 3, 1498--1535 (2019; Zbl 1423.35187) Full Text: DOI
Bessey, K.; Mavis, M.; Rebaza, J.; Zhang, J. Global stability analysis of a general model of Zika virus. (English) Zbl 1429.37052 Nonauton. Dyn. Syst. 6, 18-34 (2019). Reviewer: Paul Georgescu (Iaşi) MSC: 37N25 92D25 92D30 PDF BibTeX XML Cite \textit{K. Bessey} et al., Nonauton. Dyn. Syst. 6, 18--34 (2019; Zbl 1429.37052) Full Text: DOI
Shofianah, Nur; Darti, Isnani; Anam, Syaiful Dynamical analysis of HIV/AIDS epidemic model with two latent stages, vertical transmission and treatment. (English) Zbl 1414.46022 Aust. J. Math. Anal. Appl. 16, No. 1, Article No. 17, 11 p. (2019). MSC: 46C05 46C99 26D15 26D10 PDF BibTeX XML Cite \textit{N. Shofianah} et al., Aust. J. Math. Anal. Appl. 16, No. 1, Article No. 17, 11 p. (2019; Zbl 1414.46022) Full Text: Link
Pongsumpun, Puntani; Tang, I.-Ming; Wongvanich, Napasool Optimal control of the dengue dynamical transmission with vertical transmission. (English) Zbl 07056994 Adv. Difference Equ. 2019, Paper No. 176, 25 p. (2019). MSC: 39 34 PDF BibTeX XML Cite \textit{P. Pongsumpun} et al., Adv. Difference Equ. 2019, Paper No. 176, 25 p. (2019; Zbl 07056994) 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
Ram, Yoav; Liberman, Uri; Feldman, Marcus W. Vertical and oblique cultural transmission fluctuating in time and in space. (English) Zbl 1406.91310 Theor. Popul. Biol. 125, 11-19 (2019). MSC: 91D10 92D10 92D15 PDF BibTeX XML Cite \textit{Y. Ram} et al., Theor. Popul. Biol. 125, 11--19 (2019; Zbl 1406.91310) Full Text: DOI
Miao, Anqi; Zhang, Tongqian; Zhang, Jian; Wang, Chaoyang Dynamics of a stochastic SIR model with both horizontal and vertical transmission. (English) Zbl 07303471 J. Appl. Anal. Comput. 8, No. 4, 1108-1121 (2018). MSC: 92D30 60H10 PDF BibTeX XML Cite \textit{A. Miao} et al., J. Appl. Anal. Comput. 8, No. 4, 1108--1121 (2018; Zbl 07303471) Full Text: DOI
Chaikham, Nonthamon; Sawangtong, Wannika Sub-optimal control in the Zika virus epidemic model using differential evolution. (English) Zbl 1432.92089 Axioms 7, No. 3, Paper No. 61, 14 p. (2018). MSC: 92D30 PDF BibTeX XML Cite \textit{N. Chaikham} and \textit{W. Sawangtong}, Axioms 7, No. 3, Paper No. 61, 14 p. (2018; Zbl 1432.92089) Full Text: DOI
As-Shareef, Ebrahim; Saif, Arif; Yang, Cui-Hong; Zhang, Xin-An Mathematical models of the spread of malaria with the vertical transmission (congenital malaria). (English) Zbl 1427.92085 J. Math. Comput. Sci., JMCS 18, No. 3, 294-305 (2018). MSC: 92D30 PDF BibTeX XML Cite \textit{E. As-Shareef} et al., J. Math. Comput. Sci., JMCS 18, No. 3, 294--305 (2018; Zbl 1427.92085) Full Text: DOI
Abdullah; Seadawy, Aly; Wang, Jun New mathematical model of vertical transmission and cure of vector-borne diseases and its numerical simulation. (English) Zbl 1433.92046 Adv. Difference Equ. 2018, Paper No. 66, 15 p. (2018). MSC: 92D30 92-08 PDF BibTeX XML Cite \textit{Abdullah} et al., Adv. Difference Equ. 2018, Paper No. 66, 15 p. (2018; Zbl 1433.92046) Full Text: DOI
Zou, Lan; Chen, Jing; Feng, Xiaomei; Ruan, Shigui Analysis of a dengue model with vertical transmission and application to the 2014 dengue outbreak in Guangdong Province, China. (English) Zbl 1400.92569 Bull. Math. Biol. 80, No. 10, 2633-2651 (2018). MSC: 92D30 PDF BibTeX XML Cite \textit{L. Zou} et al., Bull. Math. Biol. 80, No. 10, 2633--2651 (2018; Zbl 1400.92569) Full Text: DOI
Pliego Pliego, Emilene; Velázquez-Castro, Jorge; Eichhorn, Markus P.; Fraguela Collar, Andrés Increased efficiency in the second-hand tire trade provides opportunity for dengue control. (English) Zbl 1394.92130 J. Theor. Biol. 437, 126-136 (2018). MSC: 92D30 PDF BibTeX XML Cite \textit{E. Pliego Pliego} et al., J. Theor. Biol. 437, 126--136 (2018; Zbl 1394.92130) Full Text: DOI
Cai, Yongli; Kang, Yun; Banerjee, Malay; Wang, Weiming Complex dynamics of a host-parasite model with both horizontal and vertical transmissions in a spatial heterogeneous environment. (English) Zbl 1379.92056 Nonlinear Anal., Real World Appl. 40, 444-465 (2018). MSC: 92D30 92D25 PDF BibTeX XML Cite \textit{Y. Cai} et al., Nonlinear Anal., Real World Appl. 40, 444--465 (2018; Zbl 1379.92056) Full Text: DOI
Luo, Guangping; Zhu, Changrong; Lan, Kunquan Dynamics of an SIR epidemic models with horizontal and vertical transmissions and constant treatment rates. (English) Zbl 07309547 J. Appl. Anal. Comput. 7, No. 3, 957-976 (2017). MSC: 34C23 92D25 34D23 PDF BibTeX XML Cite \textit{G. Luo} et al., J. Appl. Anal. Comput. 7, No. 3, 957--976 (2017; Zbl 07309547) Full Text: DOI
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M. Two-sex mosquito model for the persistence of Wolbachia. (English) Zbl 1447.92493 J. Biol. Dyn. 11, Suppl. 1, 216-237 (2017). MSC: 92D30 34D20 PDF BibTeX XML Cite \textit{L. Xue} et al., J. Biol. Dyn. 11, 216--237 (2017; Zbl 1447.92493) Full Text: DOI
Kaddar, Abdelilah; Elkhaiar, Soufiane; Eladnani, Fatiha Global stability analysis of an SEIR epidemic model with vertical transmission. (English) Zbl 1442.37098 Int. J. Dyn. Syst. Differ. Equ. 7, No. 3, 217-228 (2017). MSC: 37N25 34D23 92D30 PDF BibTeX XML Cite \textit{A. Kaddar} et al., Int. J. Dyn. Syst. Differ. Equ. 7, No. 3, 217--228 (2017; Zbl 1442.37098) Full Text: DOI
Shah, Nita H.; Patel, Zalak A.; Yeolekar, Bijal M. Threshold for vaccination in measles and its vertical transmission. (English) Zbl 1442.37104 Int. J. Dyn. Syst. Differ. Equ. 7, No. 2, 157-168 (2017). MSC: 37N25 92C60 92C50 PDF BibTeX XML Cite \textit{N. H. Shah} et al., Int. J. Dyn. Syst. Differ. Equ. 7, No. 2, 157--168 (2017; Zbl 1442.37104) Full Text: DOI
Miao, Anqi; Zhang, Jian; Zhang, Tongqian; Pradeep, B. G. Sampath Aruna Threshold dynamics of a stochastic \(S I R\) model with vertical transmission and vaccination. (English) Zbl 1382.92243 Comput. Math. Methods Med. 2017, Article ID 4820183, 10 p. (2017). MSC: 92D30 34F05 PDF BibTeX XML Cite \textit{A. Miao} et al., Comput. Math. Methods Med. 2017, Article ID 4820183, 10 p. (2017; Zbl 1382.92243) Full Text: DOI
Tumwiine, Julius; Robert, Godwin A mathematical model for treatment of bovine brucellosis in cattle population. (English) Zbl 1384.34059 J. Math. Model. 5, No. 2, 137-152 (2017). MSC: 34C60 34D05 34C05 34D23 92D30 PDF BibTeX XML Cite \textit{J. Tumwiine} and \textit{G. Robert}, J. Math. Model. 5, No. 2, 137--152 (2017; Zbl 1384.34059) Full Text: DOI
Suleman, Muhammad; Riaz, Samia Unconditionally stable numerical scheme to study the dynamics of hepatitis B disease. (English) Zbl 1381.92098 J. Math., Punjab Univ. 49, No. 3, 99-118 (2017). MSC: 92D30 PDF BibTeX XML Cite \textit{M. Suleman} and \textit{S. Riaz}, J. Math., Punjab Univ. 49, No. 3, 99--118 (2017; Zbl 1381.92098) Full Text: Link
Yang, Jin’gen; Wang, Tieying; Zhang, Ping A kind of epidemic model with infections in latent period and infective period and impulsive vaccination. (Chinese. English summary) Zbl 1389.92060 J. Xinyang Norm. Univ., Nat. Sci. 30, No. 3, 345-348 (2017). MSC: 92D30 34D20 PDF BibTeX XML Cite \textit{J. Yang} et al., J. Xinyang Norm. Univ., Nat. Sci. 30, No. 3, 345--348 (2017; Zbl 1389.92060) Full Text: DOI
Hoti, Marvin; Huo, Xi; Lan, Kunquan Stability and phase portraits of susceptible-infective-removed epidemic models with vertical transmissions and linear treatment rates. (English) Zbl 1382.34057 Electron. J. Differ. Equ. 2017, Paper No. 306, 17 p. (2017). MSC: 34C60 34C23 34D20 34D23 92D30 PDF BibTeX XML Cite \textit{M. Hoti} et al., Electron. J. Differ. Equ. 2017, Paper No. 306, 17 p. (2017; Zbl 1382.34057) Full Text: Link
Yang, Caihong; Hu, Zhixing Analysis of an SEIR model with saturated incident rate and treatment rate. (Chinese. English summary) Zbl 1389.92059 J. Zhengzhou Univ., Nat. Sci. Ed. 49, No. 2, 30-36 (2017). MSC: 92D30 34D20 PDF BibTeX XML Cite \textit{C. Yang} and \textit{Z. Hu}, J. Zhengzhou Univ., Nat. Sci. Ed. 49, No. 2, 30--36 (2017; Zbl 1389.92059) Full Text: DOI
Zhu, Chunjuan; Zeng, Guangzhao; Sun, Yufeng The threshold of a stochastic SIRS model with vertical transmission and saturated incidence. (English) Zbl 1369.92132 Discrete Dyn. Nat. Soc. 2017, Article ID 5620301, 9 p. (2017). MSC: 92D30 60H10 PDF BibTeX XML Cite \textit{C. Zhu} et al., Discrete Dyn. Nat. Soc. 2017, Article ID 5620301, 9 p. (2017; Zbl 1369.92132) Full Text: DOI
Yang, Caihong; Hu, Zhixing Stability of SEIR model with saturated incidence rate. (Chinese. English summary) Zbl 1374.34190 J. Henan Univ. Sci. Technol., Nat. Sci. 38, No. 1, 78-83 (2017). MSC: 34C60 34D20 92D30 34C05 34D05 PDF BibTeX XML Cite \textit{C. Yang} and \textit{Z. Hu}, J. Henan Univ. Sci. Technol., Nat. Sci. 38, No. 1, 78--83 (2017; Zbl 1374.34190) Full Text: DOI
Zou, Lan; Chen, Jing; Ruan, Shigui Modeling and analyzing the transmission dynamics of visceral leishmaniasis. (English) Zbl 1365.92140 Math. Biosci. Eng. 14, No. 5-6, 1585-1604 (2017). MSC: 92D30 PDF BibTeX XML Cite \textit{L. Zou} et al., Math. Biosci. Eng. 14, No. 5--6, 1585--1604 (2017; Zbl 1365.92140) Full Text: DOI
Pedro, S. A.; Tonnang, H. E. Z.; Abelman, S. Uncertainty and sensitivity analysis of a rift valley fever model. (English) Zbl 1410.92133 Appl. Math. Comput. 279, 170-186 (2016). MSC: 92D30 92C50 PDF BibTeX XML Cite \textit{S. A. Pedro} et al., Appl. Math. Comput. 279, 170--186 (2016; Zbl 1410.92133) Full Text: DOI
Huang, Canyun; Shi, Weixuan; Xi, Fuchun A class of time-delay SEIRS epidemic model with pulse vaccination and vertical transmission. (Chinese. English summary) Zbl 1363.34284 J. Lanzhou Univ. Technol. 42, No. 3, 155-161 (2016). MSC: 34K60 92D30 34K35 34K45 34K20 34K21 34K25 PDF BibTeX XML Cite \textit{C. Huang} et al., J. Lanzhou Univ. Technol. 42, No. 3, 155--161 (2016; Zbl 1363.34284)
Jiao, Jianjun; Cai, Shaohong; Li, Limei Dynamics of an SIR model with vertical transmission and impulsive dispersal. (English) Zbl 1350.92051 J. Appl. Math. Comput. 52, No. 1-2, 139-155 (2016). MSC: 92D30 PDF BibTeX XML Cite \textit{J. Jiao} et al., J. Appl. Math. Comput. 52, No. 1--2, 139--155 (2016; Zbl 1350.92051) Full Text: DOI
Shah, Nita H.; Patel, Zalak A.; Yeolekar, Bijal M. Modelling vertical transmission of hepatitis B virus under treatment and alcoholic habits. (English) Zbl 1350.93012 Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 23, No. 5, 301-329 (2016). MSC: 93A30 92C50 92D30 93C15 93D99 PDF BibTeX XML Cite \textit{N. H. Shah} et al., Dyn. Contin. Discrete Impuls. Syst., Ser. B, Appl. Algorithms 23, No. 5, 301--329 (2016; Zbl 1350.93012) Full Text: Link
Chen, Lijun; Hu, Zhixing; Liao, Fucheng The stability of an SEIRS model with Beddington-DeAngelis incidence, vertical transmission and time delay. (Chinese. English summary) Zbl 1363.34278 J. Anhui Norm. Univ., Nat. Sci. 39, No. 1, 26-32 (2016). MSC: 34K60 92D30 34K20 34K18 PDF BibTeX XML Cite \textit{L. Chen} et al., J. Anhui Norm. Univ., Nat. Sci. 39, No. 1, 26--32 (2016; Zbl 1363.34278) Full Text: DOI
Nakakawa, Juliet; Mugisha, Joseph Y. T.; Shaw, Michael W.; Karamura, Eldad A mathematical model for the dynamics of banana xanthomonas wilt with vertical transmission and inflorescence infection. (English) Zbl 1343.92505 J. Biol. Syst. 24, No. 1, 147-165 (2016). MSC: 92D30 PDF BibTeX XML Cite \textit{J. Nakakawa} et al., J. Biol. Syst. 24, No. 1, 147--165 (2016; Zbl 1343.92505) Full Text: DOI
Kelatlhegile, Gosalamang Ricardo; Kgosimore, Moatlhodi Bifurcation analysis of vertical transmission model with preventive strategy. (English) Zbl 1341.92073 J. Egypt. Math. Soc. 24, No. 3, 492-498 (2016). MSC: 92D30 34D23 34D05 PDF BibTeX XML Cite \textit{G. R. Kelatlhegile} and \textit{M. Kgosimore}, J. Egypt. Math. Soc. 24, No. 3, 492--498 (2016; Zbl 1341.92073) 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 PDF BibTeX XML Cite \textit{B. E. Ainseba} et al., Nonlinear Anal., Real World Appl. 28, 192--207 (2016; Zbl 1371.92115) Full Text: DOI
Zhu, Chunjuan; Yuan, Sanling Stability of an SIR epidemic model with saturating infect rate, vaccination and vertical transmission. (Chinese. English summary) Zbl 1349.34191 Math. Pract. Theory 45, No. 13, 286-292 (2015). MSC: 34C60 34D23 92D30 34D05 PDF BibTeX XML Cite \textit{C. Zhu} and \textit{S. Yuan}, Math. Pract. Theory 45, No. 13, 286--292 (2015; Zbl 1349.34191)
Zohragul, Osman; Xamxinur, Abdurahmany Stability analysis of an \(HIV/AIDS\) model with vertical transmission. (English) Zbl 1349.34192 J. Xinjiang Univ., Nat. Sci. 32, No. 3, 297-303 (2015). MSC: 34C60 34D20 92D30 92C60 34D23 PDF BibTeX XML Cite \textit{O. Zohragul} and \textit{A. Xamxinur}, J. Xinjiang Univ., Nat. Sci. 32, No. 3, 297--303 (2015; Zbl 1349.34192) Full Text: DOI
Song, Yunna; He, Lan; Teng, Hui The analysis of a delay SEIVR hepatitis B epidemic model with pulse vaccination and vertical transmission. (Chinese. English summary) Zbl 1349.92149 J. Hubei Univ., Nat. Sci. 37, No. 4, 376-380 (2015). MSC: 92D30 34D23 PDF BibTeX XML Cite \textit{Y. Song} et al., J. Hubei Univ., Nat. Sci. 37, No. 4, 376--380 (2015; Zbl 1349.92149) Full Text: DOI
Guo, Shuli; Fang, Bin Analysis of an SEIR epidemic model with a delay and vertical transmission. (Chinese. English summary) Zbl 1349.34331 J. Biomath. 30, No. 4, 653-658 (2015). MSC: 34K60 92D30 34K20 34K25 PDF BibTeX XML Cite \textit{S. Guo} and \textit{B. Fang}, J. Biomath. 30, No. 4, 653--658 (2015; Zbl 1349.34331)
Maxin, Daniel; Berec, Luděk; Bingham, Adrienna; Molitor, Denali; Pattyson, Julie Is more better? Higher sterilization of infected hosts need not result in reduced pest population size. (English) Zbl 1332.92072 J. Math. Biol. 70, No. 6, 1381-1409 (2015). Reviewer: Yilun Shang (Shanghai) MSC: 92D30 92D40 PDF BibTeX XML Cite \textit{D. Maxin} et al., J. Math. Biol. 70, No. 6, 1381--1409 (2015; Zbl 1332.92072) Full Text: DOI
Kribs-Zaleta, Christopher M. Graphical analysis of evolutionary trade-off in sylvatic Trypanosoma cruzi transmission modes. (English) Zbl 1412.92285 J. Theor. Biol. 353, 34-43 (2014). MSC: 92D30 92D15 35Q92 PDF BibTeX XML Cite \textit{C. M. Kribs-Zaleta}, J. Theor. Biol. 353, 34--43 (2014; Zbl 1412.92285) Full Text: DOI
Mishra, Bimal Kumar; Pandey, Samir Kumar Dynamic model of worm propagation in computer network. (English) Zbl 1427.68023 Appl. Math. Modelling 38, No. 7-8, 2173-2179 (2014). MSC: 68M10 68M25 PDF BibTeX XML Cite \textit{B. K. Mishra} and \textit{S. K. Pandey}, Appl. Math. Modelling 38, No. 7--8, 2173--2179 (2014; Zbl 1427.68023) Full Text: DOI
Dhillon, Harpreet; Banerjea, Sudeshna; Mandal, B. N. Wave scattering by a thin vertical barrier in a two-layer fluid. (English) Zbl 1423.76080 Int. J. Eng. Sci. 78, 73-88 (2014). MSC: 76B70 76D50 PDF BibTeX XML Cite \textit{H. Dhillon} et al., Int. J. Eng. Sci. 78, 73--88 (2014; Zbl 1423.76080) Full Text: DOI
Yinying, Zhang; Jianwen, Jia Hopf bifurcation of an epidemic model with a nonlinear birth in population and vertical transmission. (English) Zbl 1410.92146 Appl. Math. Comput. 230, 164-173 (2014). MSC: 92D30 37N25 PDF BibTeX XML Cite \textit{Z. Yinying} and \textit{J. Jianwen}, Appl. Math. Comput. 230, 164--173 (2014; Zbl 1410.92146) Full Text: DOI
Pittavino, Marta; Ferreri, Luca; Giacobini, Mario; Bertolotti, Luigi; Rosati, Sergio; Venturino, Ezio A CAEV epidemiological model for goat breeding. (English) Zbl 1365.92129 Appl. Math. Comput. 227, 156-163 (2014). MSC: 92D30 PDF BibTeX XML Cite \textit{M. Pittavino} et al., Appl. Math. Comput. 227, 156--163 (2014; Zbl 1365.92129) Full Text: DOI
Kuniya, Toshikazu; Iannelli, Mimmo \(R_0\) and the global behavior of an age-structured SIS epidemic model with periodicity and vertical transmission. (English) Zbl 1327.92063 Math. Biosci. Eng. 11, No. 4, 929-945 (2014). MSC: 92D30 35Q92 PDF BibTeX XML Cite \textit{T. Kuniya} and \textit{M. Iannelli}, Math. Biosci. Eng. 11, No. 4, 929--945 (2014; Zbl 1327.92063) Full Text: DOI
Pinto, Carla M. A.; Carvalho, Ana Transmission model for the co-infection of HIV/AIDS and tuberculosis. (English) Zbl 1328.92044 J. Appl. Nonlinear Dyn. 3, No. 1, 73-84 (2014). MSC: 92C60 92D30 65C20 PDF BibTeX XML Cite \textit{C. M. A. Pinto} and \textit{A. Carvalho}, J. Appl. Nonlinear Dyn. 3, No. 1, 73--84 (2014; Zbl 1328.92044) Full Text: DOI
Pinto, Carla M. A.; Carvalho, Ana Treatment and vertical transmission in a HIV-TB co-infection model. (English) Zbl 1328.92043 Discontin. Nonlinearity Complex. 3, No. 1, 49-58 (2014). MSC: 92C60 92D50 PDF BibTeX XML Cite \textit{C. M. A. Pinto} and \textit{A. Carvalho}, Discontin. Nonlinearity Complex. 3, No. 1, 49--58 (2014; Zbl 1328.92043) Full Text: DOI
Xu, Jinhu; Xu, Wenxiong; Zhou, Yicang Analysis of a delayed epidemic model with non-monotonic incidence rate and vertical transmission. (English) Zbl 1306.34131 Int. J. Biomath. 7, No. 4, Article ID 1450041, 17 p. (2014). MSC: 34K60 92D30 34K20 34K25 PDF BibTeX XML Cite \textit{J. Xu} et al., Int. J. Biomath. 7, No. 4, Article ID 1450041, 17 p. (2014; Zbl 1306.34131) Full Text: DOI
Kang, Yun; Castillo-Chavez, Carlos Dynamics of SI models with both horizontal and vertical transmissions as well as Allee effects. (English) Zbl 1310.92053 Math. Biosci. 248, 97-116 (2014). MSC: 92D30 PDF BibTeX XML Cite \textit{Y. Kang} and \textit{C. Castillo-Chavez}, Math. Biosci. 248, 97--116 (2014; Zbl 1310.92053) Full Text: DOI
Chitnis, Nakul; Hyman, James M.; Manore, Carrie A. Modelling vertical transmission in vector-borne diseases with applications to Rift Valley fever. (English) Zbl 1447.92407 J. Biol. Dyn. 7, No. 1, 11-40 (2013). MSC: 92D30 PDF BibTeX XML Cite \textit{N. Chitnis} et al., J. Biol. Dyn. 7, No. 1, 11--40 (2013; Zbl 1447.92407) Full Text: DOI
Qi, Longxing; Cui, Jing-an The stability of an SEIRS model with nonlinear incidence, vertical transmission and time delay. (English) Zbl 1329.92139 Appl. Math. Comput. 221, 360-366 (2013). MSC: 92D30 34K20 PDF BibTeX XML Cite \textit{L. Qi} and \textit{J.-a. Cui}, Appl. Math. Comput. 221, 360--366 (2013; Zbl 1329.92139) Full Text: DOI
Wang, Jinyan An analysis of global stability for an SIR epidemic isolate control model with no vertical transmission. (Chinese. English summary) Zbl 1313.92103 J. Biomath. 28, No. 3, 543-547 (2013). MSC: 92D30 92C60 34K20 PDF BibTeX XML Cite \textit{J. Wang}, J. Biomath. 28, No. 3, 543--547 (2013; Zbl 1313.92103)
Guo, Lina; Pei, Yongzhen; Liu, Yuan An infectious disease model with a time delay in loss of vaccine immunity and vertical transmission. (English) Zbl 1313.92089 J. Biomath. 28, No. 3, 385-389 (2013). MSC: 92D30 92C60 34D05 PDF BibTeX XML Cite \textit{L. Guo} et al., J. Biomath. 28, No. 3, 385--389 (2013; Zbl 1313.92089)
Yang, Jingen; Li, Xuezhi; Zhang, Xilai A delay tuberculosis model with impulsive vaccination and vertical transmission. (Chinese. English summary) Zbl 1313.92112 Acta Anal. Funct. Appl. 15, No. 1, 66-71 (2013). MSC: 92D30 34C25 34D23 PDF BibTeX XML Cite \textit{J. Yang} et al., Acta Anal. Funct. Appl. 15, No. 1, 66--71 (2013; Zbl 1313.92112) Full Text: DOI
Hao, Lijie; Jiang, Guirong; Lu, Peng Periodic solutions of an SIRS epidemic model with vertical transmission and pulse vaccination. (Chinese. English summary) Zbl 1299.92062 J. Northeast Norm. Univ., Nat. Sci. Ed. 45, No. 3, 35-40 (2013). MSC: 92D30 34C25 34C23 PDF BibTeX XML Cite \textit{L. Hao} et al., J. Northeast Norm. Univ., Nat. Sci. Ed. 45, No. 3, 35--40 (2013; Zbl 1299.92062) Full Text: DOI
Hao, Lijie; Jiang, Guirong; Lu, Peng Bifurcation analysis of an SIRS epidemic model with vertical transmission. (Chinese. English summary) Zbl 1299.34159 J. Zhengzhou Univ., Nat. Sci. Ed. 45, No. 2, 31-36 (2013). MSC: 34C60 34C23 34C25 92D30 92C60 34A37 PDF BibTeX XML Cite \textit{L. Hao} et al., J. Zhengzhou Univ., Nat. Sci. Ed. 45, No. 2, 31--36 (2013; Zbl 1299.34159) Full Text: DOI
Fang, Lingling; Qi, Longxing The stability analysis of an SEIRS model. (English) Zbl 1299.34268 J. Nanjing Norm. Univ., Nat. Sci. Ed. 36, No. 3, 21-30 (2013). MSC: 34K60 92D30 92C60 34K20 34K21 34K13 PDF BibTeX XML Cite \textit{L. Fang} and \textit{L. Qi}, J. Nanjing Norm. Univ., Nat. Sci. Ed. 36, No. 3, 21--30 (2013; Zbl 1299.34268)
Kribs-Zaleta, Christopher M.; Mubayi, Anuj The role of adaptations in two-strain competition for sylvatic Trypanosoma cruzi transmission. (English) Zbl 1447.92440 J. Biol. Dyn. 6, No. 2, 813-835 (2012). MSC: 92D30 92D15 PDF BibTeX XML Cite \textit{C. M. Kribs-Zaleta} and \textit{A. Mubayi}, J. Biol. Dyn. 6, No. 2, 813--835 (2012; Zbl 1447.92440) Full Text: DOI
Pelosse, Perrine; Kribs-Zaleta, Christopher M. The role of the ratio of vector and host densities in the evolution of transmission modes in vector-borne diseases. the example of sylvatic Trypanosoma cruzi. (English) Zbl 1337.92213 J. Theor. Biol. 312, 133-142 (2012). MSC: 92D30 92D25 PDF BibTeX XML Cite \textit{P. Pelosse} and \textit{C. M. Kribs-Zaleta}, J. Theor. Biol. 312, 133--142 (2012; Zbl 1337.92213) Full Text: DOI
Charron, Maud V. P.; Seegers, Henri; Langlais, Michel; Ezanno, Pauline Seasonal spread and control of bluetongue in cattle. (English) Zbl 1397.92623 J. Theor. Biol. 291, 1-9 (2011). MSC: 92D30 34D20 PDF BibTeX XML Cite \textit{M. V. P. Charron} et al., J. Theor. Biol. 291, 1--9 (2011; Zbl 1397.92623) Full Text: DOI
Buonomo, Bruno A simple analysis of vaccination strategies for rubella. (English) Zbl 1260.92103 Math. Biosci. Eng. 8, No. 3, 677-687 (2011). MSC: 92D30 49N90 65C20 49J15 PDF BibTeX XML Cite \textit{B. Buonomo}, Math. Biosci. Eng. 8, No. 3, 677--687 (2011; Zbl 1260.92103) Full Text: DOI
Teguria, Abha; Srivastava, Manindra Kumar; Rajput, Anil Impact of sexual maturation on the transmission dynamics of HIV infection in heterogeneous community: a model and its qualitative analysis. (English) Zbl 1260.92077 Jñānābha 41, 141-154 (2011). MSC: 92C60 92C50 PDF BibTeX XML Cite \textit{A. Teguria} et al., Jñānābha 41, 141--154 (2011; Zbl 1260.92077)
Corchete, Víctor Review of the methodology for computation of transmission and reflection coefficients for the surface waves propagated through a vertical contact. (English) Zbl 1254.86005 Comput. Geosci. 15, No. 3, 579-586 (2011). MSC: 86-08 74J15 74M15 PDF BibTeX XML Cite \textit{V. Corchete}, Comput. Geosci. 15, No. 3, 579--586 (2011; Zbl 1254.86005) Full Text: DOI
Chen, Jianjuan; Liao, Xinyuan; Wang, Guangju A class of SEIR models with constant input, saturated incidence rate and vertical transmission. (Chinese. English summary) Zbl 1265.34168 J. Xuzhou Norm. Univ., Nat. Sci. 29, No. 4, 16-20 (2011). MSC: 34C60 34D23 92D30 92C60 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Xuzhou Norm. Univ., Nat. Sci. 29, No. 4, 16--20 (2011; Zbl 1265.34168)
Zhu, Ji; Li, Weide; Zhu, Lingfeng An SIR epidemic model with birth pulse and pulse vaccination. (Chinese. English summary) Zbl 1247.92034 J. Biomath. 26, No. 3, 490-496 (2011). MSC: 92D30 92C60 34A37 34C25 PDF BibTeX XML Cite \textit{J. Zhu} et al., J. Biomath. 26, No. 3, 490--496 (2011; Zbl 1247.92034)
Perdoná, Gleici Castro; Louzada-Neto, Francisco A general hazard model for lifetime data in the presence of cure rate. (English) Zbl 1218.62116 J. Appl. Stat. 38, No. 7, 1395-1405 (2011). MSC: 62P10 62N02 65C60 92C50 PDF BibTeX XML Cite \textit{G. C. Perdoná} and \textit{F. Louzada-Neto}, J. Appl. Stat. 38, No. 7, 1395--1405 (2011; Zbl 1218.62116) Full Text: DOI
Mishra, Bimal Kumar; Pandey, Samir Kumar Dynamic model of worms with vertical transmission in computer network. (English) Zbl 1219.68080 Appl. Math. Comput. 217, No. 21, 8438-8446 (2011). MSC: 68M99 68M11 PDF BibTeX XML Cite \textit{B. K. Mishra} and \textit{S. K. Pandey}, Appl. Math. Comput. 217, No. 21, 8438--8446 (2011; Zbl 1219.68080) Full Text: DOI
Preedy, Katharine F.; Schofield, Pietà G.; Liu, Sijia; Matzavinos, Anastasios; Chaplain, Mark A. J.; Hubbard, Stephen F. Modelling contact spread of infection in host-parasitoid systems: vertical transmission of pathogens can cause chaos. (English) Zbl 1403.92307 J. Theor. Biol. 262, No. 3, 441-451 (2010). MSC: 92D30 92D40 34C28 PDF BibTeX XML Cite \textit{K. F. Preedy} et al., J. Theor. Biol. 262, No. 3, 441--451 (2010; Zbl 1403.92307) Full Text: DOI
De, Soumen; Mandal, B. N.; Chakrabarti, A. Use of Abel integral equations in water wave scattering by two surface-piercing barriers. (English) Zbl 1231.76030 Wave Motion 47, No. 5, 279-288 (2010). MSC: 76B15 45E05 PDF BibTeX XML Cite \textit{S. De} et al., Wave Motion 47, No. 5, 279--288 (2010; Zbl 1231.76030) Full Text: DOI
Chen, Wei; Li, Cuiping Dynamics of a kind of Rift Valley fever models. (English) Zbl 1234.92053 Ann. Differ. Equations 26, No. 2, 127-135 (2010). MSC: 92C60 34D20 92D30 PDF BibTeX XML Cite \textit{W. Chen} and \textit{C. Li}, Ann. Differ. Equations 26, No. 2, 127--135 (2010; Zbl 1234.92053)
Zhao, Wencai; Li, Yuxin; Meng, Xinzhu Analysis of an epidemic model with impulsive vaccination and time delays. (Chinese. English summary) Zbl 1224.92023 Math. Appl. 23, No. 2, 370-375 (2010). MSC: 92D30 34K45 34K13 37N25 PDF BibTeX XML Cite \textit{W. Zhao} et al., Math. Appl. 23, No. 2, 370--375 (2010; Zbl 1224.92023)
Dhirasakdanon, T.; Thieme, H. R. Stability of the endemic coexistence equilibrium for one host and two parasites. (English) Zbl 1205.92063 Math. Model. Nat. Phenom. 5, No. 6, 109-138 (2010). MSC: 92D30 65C20 34D20 34C25 92D40 PDF BibTeX XML Cite \textit{T. Dhirasakdanon} and \textit{H. R. Thieme}, Math. Model. Nat. Phenom. 5, No. 6, 109--138 (2010; Zbl 1205.92063) Full Text: DOI EuDML
Fan, Guihong; Liu, Junli; van den Driessche, P.; Wu, Jianhong; Zhu, Huaiping The impact of maturation delay of mosquitoes on the transmission of West Nile virus. (English) Zbl 1204.92057 Math. Biosci. 228, No. 2, 119-126 (2010). MSC: 92D30 65C20 34K60 92D40 37N25 PDF BibTeX XML Cite \textit{G. Fan} et al., Math. Biosci. 228, No. 2, 119--126 (2010; Zbl 1204.92057) Full Text: DOI
Ferdy, Jean-Baptiste Virulence and transmission modes in metapopulations: when group selection increases virulence. (English) Zbl 1400.92480 J. Theor. Biol. 256, No. 2, 286-296 (2009). MSC: 92D30 92D15 92D25 PDF BibTeX XML Cite \textit{J.-B. Ferdy}, J. Theor. Biol. 256, No. 2, 286--296 (2009; Zbl 1400.92480) Full Text: DOI
Salceanu, Paul Leonard; Smith, Hal L. Persistence in a discrete-time stage-structured fungal disease model. (English) Zbl 1342.92278 J. Biol. Dyn. 3, No. 2-3, 271-285 (2009). MSC: 92D30 92D25 PDF BibTeX XML Cite \textit{P. L. Salceanu} and \textit{H. L. Smith}, J. Biol. Dyn. 3, No. 2--3, 271--285 (2009; Zbl 1342.92278) Full Text: DOI
Lin, Huajiong; Tang, Youxi; Guan, Lu; Shao, Shihai Successive interference cancellation (SIC) in V-BLAST systems with asynchronous transmission mode. (English) Zbl 1181.94051 Sci. China, Ser. F. 52, No. 12, 2317-2323 (2009). MSC: 94A12 PDF BibTeX XML Cite \textit{H. Lin} et al., Sci. China, Ser. F 52, No. 12, 2317--2323 (2009; Zbl 1181.94051) Full Text: DOI
Zhang, Hong-kui; Xiao, Ze-chang; Zhang, Feng-pan The stability analysis of an SIRS model with nonlinear incidence rate and vertical transmission. (Chinese. English summary) Zbl 1187.37126 J. Nanyang Norm. Univ. 7, No. 3, 5-7 (2008). MSC: 37N25 92D30 34K20 PDF BibTeX XML Cite \textit{H.-k. Zhang} et al., J. Nanyang Norm. Univ. 7, No. 3, 5--7 (2008; Zbl 1187.37126)
Ding, Lingfen; Li, Jianli An SEIR epidemic model with vertical transmission. (Chinese. English summary) Zbl 1199.34217 J. Shaoxing Univ., Nat. Sci. 28, No. 9, 4-6 (2008). MSC: 34C60 34D05 92D30 92C60 34D20 PDF BibTeX XML Cite \textit{L. Ding} and \textit{J. Li}, J. Shaoxing Univ., Nat. Sci. 28, No. 9, 4--6 (2008; Zbl 1199.34217)
Jiao, Jianjun; Cai, Shaohong; Chen, Lansun A vertical transmission DS-I-R model with vaccination for recurrent event data. (Chinese. English summary) Zbl 1199.34224 Acta Math. Appl. Sin. 31, No. 6, 1089-1095 (2008). MSC: 34C60 34D23 92D30 92C60 PDF BibTeX XML Cite \textit{J. Jiao} et al., Acta Math. Appl. Sin. 31, No. 6, 1089--1095 (2008; Zbl 1199.34224)
Li, Yongfeng; Ma, Chaoqun; Cui, Jingan The effect of constant and mixed impulsive vaccination on SIS epidemic models incorporating media coverage. (English) Zbl 1167.34015 Rocky Mt. J. Math. 38, No. 5, 1437-1455 (2008). MSC: 34C60 34C05 34A37 34D20 92D30 PDF BibTeX XML Cite \textit{Y. Li} et al., Rocky Mt. J. Math. 38, No. 5, 1437--1455 (2008; Zbl 1167.34015) Full Text: DOI
Banerjee, Chandrani; Allen, Linda J. S.; Salazar-Bravo, Jorge Models for an arenavirus infection in a rodent population: consequences of horizontal, vertical and sexual transmission. (English) Zbl 1153.92020 Math. Biosci. Eng. 5, No. 4, 617-645 (2008). MSC: 92C60 34D05 37N25 92D30 PDF BibTeX XML Cite \textit{C. Banerjee} et al., Math. Biosci. Eng. 5, No. 4, 617--645 (2008; Zbl 1153.92020) Full Text: DOI
Thomasey, Douglas H.; Martcheva, Maia Serotype replacement of vertically transmitted diseases through perfect vaccination. (English) Zbl 1146.92023 J. Biol. Syst. 16, No. 2, 255-277 (2008). MSC: 92C60 34D05 65C20 PDF BibTeX XML Cite \textit{D. H. Thomasey} and \textit{M. Martcheva}, J. Biol. Syst. 16, No. 2, 255--277 (2008; Zbl 1146.92023) Full Text: DOI
Meng, Xinzhu; Chen, Lansun The dynamics of a new SIR epidemic model concerning pulse vaccination strategy. (English) Zbl 1131.92056 Appl. Math. Comput. 197, No. 2, 582-597 (2008). MSC: 92D30 34D23 37N25 34C60 65C20 PDF BibTeX XML Cite \textit{X. Meng} and \textit{L. Chen}, Appl. Math. Comput. 197, No. 2, 582--597 (2008; Zbl 1131.92056) Full Text: DOI
Jones, E. O.; White, A.; Boots, M. Interference and the persistence of vertically transmitted parasites. (English) Zbl 1451.92293 J. Theor. Biol. 246, No. 1, 10-17 (2007). MSC: 92D30 PDF BibTeX XML Cite \textit{E. O. Jones} et al., J. Theor. Biol. 246, No. 1, 10--17 (2007; Zbl 1451.92293) Full Text: DOI
El-Doma, Mohamed Global stability result of an SIS age-structured epidemic model with vertical transmission. (English) Zbl 1331.92146 Appl. Appl. Math. 2, No. 1, 32-50 (2007). MSC: 92D30 92D25 45K05 35B35 PDF BibTeX XML Cite \textit{M. El-Doma}, Appl. Appl. Math. 2, No. 1, 32--50 (2007; Zbl 1331.92146) Full Text: Link
Zou, Wei; Xie, Jiehua Analysis of an eco-epidemiological model with epidemics and vertical infection in the prey. (Chinese. English summary) Zbl 1150.92360 J. Hunan Univ. Arts Sci., Nat. Sci. 19, No. 4, 35-38 (2007). MSC: 92D40 92D30 PDF BibTeX XML Cite \textit{W. Zou} and \textit{J. Xie}, J. Hunan Univ. Arts Sci., Nat. Sci. 19, No. 4, 35--38 (2007; Zbl 1150.92360)
Razvan, M. R. The dynamics of a vertically transmitted disease. (English) Zbl 1132.92024 J. Prime Res. Math. 3, 201-209 (2007). MSC: 92D30 34C60 37N25 34D23 34D05 PDF BibTeX XML Cite \textit{M. R. Razvan}, J. Prime Res. Math. 3, 201--209 (2007; Zbl 1132.92024) Full Text: arXiv
Gou, Qingming; Wang, Wendi Global stability of two epidemic models. (English) Zbl 1128.92037 Discrete Contin. Dyn. Syst., Ser. B 8, No. 2, 333-345 (2007). MSC: 92D30 34D20 34D23 34D05 PDF BibTeX XML Cite \textit{Q. Gou} and \textit{W. Wang}, Discrete Contin. Dyn. Syst., Ser. B 8, No. 2, 333--345 (2007; Zbl 1128.92037) Full Text: DOI
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong A final size relation for epidemic models. (English) Zbl 1123.92030 Math. Biosci. Eng. 4, No. 2, 159-175 (2007). MSC: 92D30 34D99 PDF BibTeX XML Cite \textit{J. Arino} et al., Math. Biosci. Eng. 4, No. 2, 159--175 (2007; Zbl 1123.92030) Full Text: DOI
Coutinho, F. A. B.; Burattini, M. N.; Lopez, L. F.; Massad, E. Threshold conditions for a non-autonomous epidemic system describing the population dynamics of dengue. (English) Zbl 1296.92226 Bull. Math. Biol. 68, No. 8, 2263-2282 (2006). MSC: 92D30 92D25 PDF BibTeX XML Cite \textit{F. A. B. Coutinho} et al., Bull. Math. Biol. 68, No. 8, 2263--2282 (2006; Zbl 1296.92226) Full Text: DOI
Lungu, E. M.; Kgosimore, M.; Nyabadza, F. Models for the spread of HIV/AIDS: trends in Southern Africa. (English) Zbl 1180.37129 Gumel, Abba B. (ed.) et al., Mathematical studies on human disease dynamics. Emerging paradigms and challenges. AMS-IMS-SIAM joint summer research conference on modeling the dynamics of human diseases: Emerging paradigms and challenges, Snowbird, Utah, USA, July 17–21, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3775-3/pbk). Contemporary Mathematics 410, 259-277 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37N25 92D30 PDF BibTeX XML Cite \textit{E. M. Lungu} et al., Contemp. Math. 410, 259--277 (2006; Zbl 1180.37129)
Mandal, B. N.; De, Soumen Water wave scattering by two submerged nearly vertical barriers. (English) Zbl 1123.76318 ANZIAM J. 48, No. 1, 107-117 (2006). MSC: 76B07 76B15 PDF BibTeX XML Cite \textit{B. N. Mandal} and \textit{S. De}, ANZIAM J. 48, No. 1, 107--117 (2006; Zbl 1123.76318) Full Text: DOI Link
Naresh, Ram; Tripathi, Agraj; Omar, Sandip Modelling the spread of AIDS epidemic with vertical transmission. (English) Zbl 1096.92038 Appl. Math. Comput. 178, No. 2, 262-272 (2006). MSC: 92D30 34D05 65C20 PDF BibTeX XML Cite \textit{R. Naresh} et al., Appl. Math. Comput. 178, No. 2, 262--272 (2006; Zbl 1096.92038) Full Text: DOI
Kgosimore, Moatlhodi; Lungu, Edward M. The effects of vertical transmission on the spread of HIV/AIDS in the presence of treatment. (English) Zbl 1103.37311 Math. Biosci. Eng. 3, No. 2, 297-312 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37N25 92D30 34D20 PDF BibTeX XML Cite \textit{M. Kgosimore} and \textit{E. M. Lungu}, Math. Biosci. Eng. 3, No. 2, 297--312 (2006; Zbl 1103.37311) Full Text: DOI
Inaba, Hisashi Mathematical analysis of an age-structured SIR epidemic model with vertical transmission. (English) Zbl 1088.92049 Discrete Contin. Dyn. Syst., Ser. B 6, No. 1, 69-96 (2006). MSC: 92D30 47D03 47N60 35Q92 35B35 47E05 PDF BibTeX XML Cite \textit{H. Inaba}, Discrete Contin. Dyn. Syst., Ser. B 6, No. 1, 69--96 (2006; Zbl 1088.92049) Full Text: DOI
De, Soumen; Gayen, Rupanwita; Mandal, B. N. Water wave scattering by two partially immersed nearly vertical barriers. (English) Zbl 1231.76029 Wave Motion 43, No. 2, 167-175 (2005). MSC: 76B15 PDF BibTeX XML Cite \textit{S. De} et al., Wave Motion 43, No. 2, 167--175 (2005; Zbl 1231.76029) Full Text: DOI
Feng, Zhilan; Huang, Wenzhang; Castillo-Chavez, Carlos Global behavior of a multi-group SIS epidemic model with age structure. (English) Zbl 1083.35020 J. Differ. Equations 218, No. 2, 292-324 (2005). Reviewer: Mohamed O. El-Doma (Beirut) MSC: 35B40 92D25 45K05 47D06 45M05 47N60 47N20 35L40 35R10 PDF BibTeX XML Cite \textit{Z. Feng} et al., J. Differ. Equations 218, No. 2, 292--324 (2005; Zbl 1083.35020) Full Text: DOI