Hilker, Frank M.; Schmitz, Kirsten Disease-induced stabilization of predator-prey oscillations. (English) Zbl 1400.92487 J. Theor. Biol. 255, No. 3, 299-306 (2008). MSC: 92D30 92D25 92D40 PDFBibTeX XMLCite \textit{F. M. Hilker} and \textit{K. Schmitz}, J. Theor. Biol. 255, No. 3, 299--306 (2008; Zbl 1400.92487) Full Text: DOI
Hosack, Geoffrey R.; Rossignol, Philippe A.; van den Driessche, P. The control of vector-borne disease epidemics. (English) Zbl 1400.92488 J. Theor. Biol. 255, No. 1, 16-25 (2008). MSC: 92D30 PDFBibTeX XMLCite \textit{G. R. Hosack} et al., J. Theor. Biol. 255, No. 1, 16--25 (2008; Zbl 1400.92488) Full Text: DOI
Bhunu, C. P.; Garira, W.; Mukandavire, Z.; Magombedze, G. Modelling the effects of pre-exposure and post-exposure vaccines in tuberculosis control. (English) Zbl 1400.92465 J. Theor. Biol. 254, No. 3, 633-649 (2008). MSC: 92D30 92C60 35B32 35B35 PDFBibTeX XMLCite \textit{C. P. Bhunu} et al., J. Theor. Biol. 254, No. 3, 633--649 (2008; Zbl 1400.92465) 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 PDFBibTeX XMLCite \textit{J. Cui} et al., J. Theor. Biol. 254, No. 2, 275--283 (2008; Zbl 1400.92472) Full Text: DOI
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong A model for influenza with vaccination and antiviral treatment. (English) Zbl 1398.92147 J. Theor. Biol. 253, No. 1, 118-130 (2008). MSC: 92C60 PDFBibTeX XMLCite \textit{J. Arino} et al., J. Theor. Biol. 253, No. 1, 118--130 (2008; Zbl 1398.92147) Full Text: DOI
Yan, Ping Separate roles of the latent and infectious periods in shaping the relation between the basic reproduction number and the intrinsic growth rate of infectious disease outbreaks. (English) Zbl 1398.92265 J. Theor. Biol. 251, No. 2, 238-252 (2008). MSC: 92D30 92D25 60J85 PDFBibTeX XMLCite \textit{P. Yan}, J. Theor. Biol. 251, No. 2, 238--252 (2008; Zbl 1398.92265) Full Text: DOI
Thieme, H. R.; Tridane, A.; Kuang, Y. An epidemic model with post-contact prophylaxis of distributed length. II: Stability and oscillations if treatment is fully effective. (English) Zbl 1337.34076 Math. Model. Nat. Phenom. 3, No. 7, 267-293 (2008). MSC: 34K20 92C50 92D30 PDFBibTeX XMLCite \textit{H. R. Thieme} et al., Math. Model. Nat. Phenom. 3, No. 7, 267--293 (2008; Zbl 1337.34076) 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 PDFBibTeX XMLCite \textit{H. Inaba} and \textit{H. Nishiura}, Math. Model. Nat. Phenom. 3, No. 7, 194--228 (2008; Zbl 1337.92208) Full Text: DOI
Prüss, J.; Zacher, R.; Schnaubelt, R. Global asymptotic stability of equilibria in models for virus dynamics. (English) Zbl 1337.92216 Math. Model. Nat. Phenom. 3, No. 7, 126-142 (2008). MSC: 92D30 35K57 35B30 PDFBibTeX XMLCite \textit{J. Prüss} et al., Math. Model. Nat. Phenom. 3, No. 7, 126--142 (2008; Zbl 1337.92216) Full Text: DOI
Qiu, Zhipeng Dynamics of a model for virulent phage t4. (English) Zbl 1364.92051 J. Biol. Syst. 16, No. 4, 597-611 (2008). MSC: 92D30 92C99 PDFBibTeX XMLCite \textit{Z. Qiu}, J. Biol. Syst. 16, No. 4, 597--611 (2008; Zbl 1364.92051) Full Text: DOI
Wang, Xiaowei; Lou, Jie Two dynamic models about rabies between dogs and human. (English) Zbl 1355.92132 J. Biol. Syst. 16, No. 4, 519-529 (2008). MSC: 92D30 PDFBibTeX XMLCite \textit{X. Wang} and \textit{J. Lou}, J. Biol. Syst. 16, No. 4, 519--529 (2008; Zbl 1355.92132) Full Text: DOI
Fu, Jingchao; Jing, Yuanwei; Zhang, Zhonghua; Zhang, Siying Study on SIRS epidemic models with vertical infection and continuous vaccination. (Chinese. English summary) Zbl 1174.92354 J. Biomath. 23, No. 2, 273-278 (2008). MSC: 92D30 PDFBibTeX XMLCite \textit{J. Fu} et al., J. Biomath. 23, No. 2, 273--278 (2008; Zbl 1174.92354)
Qiu, Zhipeng Dynamical behavior of a vector-host epidemic model with demographic structure. (English) Zbl 1165.34382 Comput. Math. Appl. 56, No. 12, 3118-3129 (2008). MSC: 34D23 92D30 PDFBibTeX XMLCite \textit{Z. Qiu}, Comput. Math. Appl. 56, No. 12, 3118--3129 (2008; Zbl 1165.34382) Full Text: DOI
Min, Lequan; Su, Yongmei; Kuang, Yang Mathematical analysis of a basic virus infection model with application to HBV infection. (English) Zbl 1194.34107 Rocky Mt. J. Math. 38, No. 5, 1573-1585 (2008). MSC: 34D20 92D30 PDFBibTeX XMLCite \textit{L. Min} et al., Rocky Mt. J. Math. 38, No. 5, 1573--1585 (2008; Zbl 1194.34107) Full Text: DOI
Cui, Jing-An; Tao, Xin; Zhu, Huaiping An SIS infection model incorporating media coverage. (English) Zbl 1170.92024 Rocky Mt. J. Math. 38, No. 5, 1323-1334 (2008). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J.-A. Cui} et al., Rocky Mt. J. Math. 38, No. 5, 1323--1334 (2008; Zbl 1170.92024) 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
Li, Jianquan; Ma, Zhien; Zhang, Fengqin Stability analysis for an epidemic model with stage structure. (English) Zbl 1154.92321 Nonlinear Anal., Real World Appl. 9, No. 4, 1672-1679 (2008). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J. Li} et al., Nonlinear Anal., Real World Appl. 9, No. 4, 1672--1679 (2008; Zbl 1154.92321) Full Text: DOI
Nyabadza, F. On the complexities of modeling HIV/AIDS in Southern Africa. (English) Zbl 1155.92035 Math. Model. Anal. 13, No. 4, 539-552 (2008). MSC: 92D30 34D23 92C60 PDFBibTeX XMLCite \textit{F. Nyabadza}, Math. Model. Anal. 13, No. 4, 539--552 (2008; Zbl 1155.92035) Full Text: DOI
Tumwiine, J.; Mugisha, J. Y. T.; Luboobi, L. S. Threshold and stability results for a malaria model in a population with protective intervention among high-risk groups. (English) Zbl 1156.92029 Math. Model. Anal. 13, No. 3, 443-460 (2008). MSC: 92C60 92C50 34D05 34D23 34C60 PDFBibTeX XMLCite \textit{J. Tumwiine} et al., Math. Model. Anal. 13, No. 3, 443--460 (2008; Zbl 1156.92029) Full Text: DOI
Hsieh, Ying-Hen; Hsiao, Chin-Kuei Predator-prey model with disease infection in both populations. (English) Zbl 1154.92040 Math. Med. Biol. 25, No. 3, 247-266 (2008). MSC: 92D40 92D30 37N25 34D99 PDFBibTeX XMLCite \textit{Y.-H. Hsieh} and \textit{C.-K. Hsiao}, Math. Med. Biol. 25, No. 3, 247--266 (2008; Zbl 1154.92040) Full Text: DOI Link
Brauer, Fred Age-of-infection and the final size relation. (English) Zbl 1166.92321 Math. Biosci. Eng. 5, No. 4, 681-690 (2008). MSC: 92D30 37N25 PDFBibTeX XMLCite \textit{F. Brauer}, Math. Biosci. Eng. 5, No. 4, 681--690 (2008; Zbl 1166.92321) Full Text: DOI
Moschen, M. P.; Pugliese, A. The threshold for persistence of parasites with multiple infections. (English) Zbl 1152.92022 Commun. Pure Appl. Anal. 7, No. 6, 1483-1496 (2008). MSC: 92D30 35L60 47N60 35Q92 35B35 PDFBibTeX XMLCite \textit{M. P. Moschen} and \textit{A. Pugliese}, Commun. Pure Appl. Anal. 7, No. 6, 1483--1496 (2008; Zbl 1152.92022) Full Text: DOI
Supriatna, A. K.; Soewono, E.; van Gils, S. A. A two-age-classes dengue transmission model. (English) Zbl 1151.92019 Math. Biosci. 216, No. 1, 114-121 (2008). MSC: 92C60 34K60 92D30 37N25 PDFBibTeX XMLCite \textit{A. K. Supriatna} et al., Math. Biosci. 216, No. 1, 114--121 (2008; Zbl 1151.92019) Full Text: DOI
Inaba, Hisashi; Nishiura, Hiroshi The state-reproduction number for a multistate class age structured epidemic system and its application to the asymptomatic transmission model. (English) Zbl 1152.92021 Math. Biosci. 216, No. 1, 77-89 (2008). MSC: 92D30 60K05 92C60 60K10 PDFBibTeX XMLCite \textit{H. Inaba} and \textit{H. Nishiura}, Math. Biosci. 216, No. 1, 77--89 (2008; Zbl 1152.92021) Full Text: DOI
Okuonghae, Daniel; Aihie, Vincent Case detection and direct observation therapy strategy (DOTS) in Nigeria: its effect on the TB dynamics. (English) Zbl 1149.92019 J. Biol. Syst. 16, No. 1, 1-31 (2008). MSC: 92C50 34D05 34C23 34C60 65C20 PDFBibTeX XMLCite \textit{D. Okuonghae} and \textit{V. Aihie}, J. Biol. Syst. 16, No. 1, 1--31 (2008; Zbl 1149.92019) Full Text: DOI
Ruan, Shigui; Xiao, Dongmei; Beier, John C. On the delayed Ross-Macdonald model for malaria transmission. (English) Zbl 1142.92040 Bull. Math. Biol. 70, No. 4, 1098-1114 (2008). MSC: 92D30 34K60 PDFBibTeX XMLCite \textit{S. Ruan} et al., Bull. Math. Biol. 70, No. 4, 1098--1114 (2008; Zbl 1142.92040) Full Text: DOI
Elbasha, Elamin H. Global stability of equilibria in a two-sex HPV vaccination model. (English) Zbl 1142.92027 Bull. Math. Biol. 70, No. 3, 894-909 (2008). MSC: 92C60 37N25 34D05 92C50 93A30 34D23 PDFBibTeX XMLCite \textit{E. H. Elbasha}, Bull. Math. Biol. 70, No. 3, 894--909 (2008; Zbl 1142.92027) Full Text: DOI
Allen, L. J. S.; Bolker, B. M.; Lou, Y.; Nevai, A. L. Asymptotic profiles of the steady states for an SIS epidemic reaction-diffusion model. (English) Zbl 1146.92028 Discrete Contin. Dyn. Syst. 21, No. 1, 1-20 (2008). MSC: 92D30 35K57 92D40 35B35 34C60 37N25 PDFBibTeX XMLCite \textit{L. J. S. Allen} et al., Discrete Contin. Dyn. Syst. 21, No. 1, 1--20 (2008; Zbl 1146.92028) Full Text: DOI
Thieme, Horst R.; Tridane, Abdessamad; Kuang, Yang An epidemic model with post-contact prophylaxis of distributed length I. Thresholds for disease persistence and extinction. (English) Zbl 1140.92023 J. Biol. Dyn. 2, No. 2, 221-239 (2008). MSC: 92D30 37N25 34K20 92C60 34A99 45M99 PDFBibTeX XMLCite \textit{H. R. Thieme} et al., J. Biol. Dyn. 2, No. 2, 221--239 (2008; Zbl 1140.92023) Full Text: DOI
Guo, Hongbin; Li, Michael Y. Global dynamics of a staged-progression model with amelioration for infectious diseases. (English) Zbl 1140.92020 J. Biol. Dyn. 2, No. 2, 154-168 (2008). MSC: 92D30 34D23 37N25 34D05 34D20 PDFBibTeX XMLCite \textit{H. Guo} and \textit{M. Y. Li}, J. Biol. Dyn. 2, No. 2, 154--168 (2008; Zbl 1140.92020) Full Text: DOI
Gourley, Stephen A.; Kuang, Yang; Nagy, John D. Dynamics of a delay differential equation model of hepatitis B virus infection. (English) Zbl 1140.92014 J. Biol. Dyn. 2, No. 2, 140-153 (2008). MSC: 92C60 34K20 37N25 92C50 PDFBibTeX XMLCite \textit{S. A. Gourley} et al., J. Biol. Dyn. 2, No. 2, 140--153 (2008; Zbl 1140.92014) Full Text: DOI
Dumont, Y.; Chiroleu, F.; Domerg, C. On a temporal model for the Chikungunya disease: modeling, theory and numerics. (English) Zbl 1135.92028 Math. Biosci. 213, No. 1, 80-91 (2008). MSC: 92D30 34D23 65C20 34D05 PDFBibTeX XMLCite \textit{Y. Dumont} et al., Math. Biosci. 213, No. 1, 80--91 (2008; Zbl 1135.92028) Full Text: DOI
Kamgang, Jean Claude; Sallet, Gauthier Computation of threshold conditions for epidemiological models and global stability of the disease-free equilibrium (DFE). (English) Zbl 1135.92030 Math. Biosci. 213, No. 1, 1-12 (2008). MSC: 92D30 34D23 93A30 34D05 PDFBibTeX XMLCite \textit{J. C. Kamgang} and \textit{G. Sallet}, Math. Biosci. 213, No. 1, 1--12 (2008; Zbl 1135.92030) Full Text: DOI
Hsu, Sze-Bi; Hsieh, Ying-Hen On the role of asymptomatic infection in transmission dynamics of infectious diseases. (English) Zbl 1281.92060 Bull. Math. Biol. 70, No. 1, 134-155 (2008). MSC: 92D30 35Q82 92C60 PDFBibTeX XMLCite \textit{S.-B. Hsu} and \textit{Y.-H. Hsieh}, Bull. Math. Biol. 70, No. 1, 134--155 (2008; Zbl 1281.92060) Full Text: DOI Link
Tumwiine, J.; Mugisha, J. Y. T.; Luboobi, L. S. On global stability of the intra-host dynamics of malaria and the immune system. (English) Zbl 1132.92010 J. Math. Anal. Appl. 341, No. 2, 855-869 (2008). MSC: 92C50 92C60 34D05 34D23 37N25 34D20 PDFBibTeX XMLCite \textit{J. Tumwiine} et al., J. Math. Anal. Appl. 341, No. 2, 855--869 (2008; Zbl 1132.92010) Full Text: DOI
Yuan, Junli; Yang, Zuodong Global dynamics of an SEI model with acute and chronic stages. (English) Zbl 1131.92058 J. Comput. Appl. Math. 213, No. 2, 465-476 (2008). MSC: 92D30 34D23 PDFBibTeX XMLCite \textit{J. Yuan} and \textit{Z. Yang}, J. Comput. Appl. Math. 213, No. 2, 465--476 (2008; Zbl 1131.92058) Full Text: DOI