Martins, José; Pinto, Alberto; Stollenwerk, Nico Stationarity in moment closure and quasi-stationarity of the SIS model. (English) Zbl 1244.92049 Math. Biosci. 236, No. 2, 126-131 (2012). MSC: 92D30 37N25 34A99 PDFBibTeX XMLCite \textit{J. Martins} et al., Math. Biosci. 236, No. 2, 126--131 (2012; Zbl 1244.92049) Full Text: DOI Link
Tewa, J. J.; Fokouop, R.; Mewoli, B.; Bowong, S. Mathematical analysis of a general class of ordinary differential equations coming from within-hosts models of malaria with immune effectors. (English) Zbl 1242.92044 Appl. Math. Comput. 218, No. 14, 7347-7361 (2012). MSC: 92C60 34D23 37N25 34D05 65C20 PDFBibTeX XMLCite \textit{J. J. Tewa} et al., Appl. Math. Comput. 218, No. 14, 7347--7361 (2012; Zbl 1242.92044) Full Text: DOI
Pei, Yongzhen; Ji, Xuehui; Li, Changguo Pest regulation by means of continuous and impulsive nonlinear controls. (English) Zbl 1190.34008 Math. Comput. Modelling 51, No. 5-6, 810-822 (2010). MSC: 34A37 34D20 92D40 93C95 PDFBibTeX XMLCite \textit{Y. Pei} et al., Math. Comput. Modelling 51, No. 5--6, 810--822 (2010; Zbl 1190.34008) Full Text: DOI
Chen, Yiping; Liu, Zhijun Modelling and analysis of an impulsive SI model with Monod-Haldane functional response. (English) Zbl 1197.37112 Chaos Solitons Fractals 39, No. 4, 1698-1714 (2009). MSC: 37N25 92D30 34C25 92D25 34C60 34D20 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{Z. Liu}, Chaos Solitons Fractals 39, No. 4, 1698--1714 (2009; Zbl 1197.37112) Full Text: DOI
Liu, Shaoying; Pei, Yongzhen; Li, Changguo; Chen, Lansun Three kinds of TVS in a SIR epidemic model with saturated infectious force and vertical transmission. (English) Zbl 1205.34007 Appl. Math. Modelling 33, No. 4, 1923-1932 (2009). MSC: 34A37 34C25 34D23 92D30 PDFBibTeX XMLCite \textit{S. Liu} et al., Appl. Math. Modelling 33, No. 4, 1923--1932 (2009; Zbl 1205.34007) Full Text: DOI
Wang, Xia; Tao, Youde; Song, Xinyu Mathematical model for the control of a pest population with impulsive perturbations on diseased pest. (English) Zbl 1205.34102 Appl. Math. Modelling 33, No. 7, 3099-3106 (2009). MSC: 34K45 92D25 34D05 PDFBibTeX XMLCite \textit{X. Wang} et al., Appl. Math. Modelling 33, No. 7, 3099--3106 (2009; Zbl 1205.34102) Full Text: DOI
Jiao, Jian-Jun; Chen, Lan-Sun; Cai, Shao-Hong Impulsive control strategy of a pest management SI model with nonlinear incidence rate. (English) Zbl 1167.34340 Appl. Math. Modelling 33, No. 1, 555-563 (2009). MSC: 34C25 92D30 34A37 92E20 PDFBibTeX XMLCite \textit{J.-J. Jiao} et al., Appl. Math. Modelling 33, No. 1, 555--563 (2009; Zbl 1167.34340) Full Text: DOI
Shi, Ruiqing; Jiang, Xiaowu; Chen, Lansun The effect of impulsive vaccination on an SIR epidemic model. (English) Zbl 1186.92040 Appl. Math. Comput. 212, No. 2, 305-311 (2009). MSC: 92D30 34A37 34D23 34D05 92C60 PDFBibTeX XMLCite \textit{R. Shi} et al., Appl. Math. Comput. 212, No. 2, 305--311 (2009; Zbl 1186.92040) 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
Jiao, Jianjun; Meng, Xinzhu; Chen, Lansun Global attractivity and permanence of a stage-structured pest management SI model with time delay and diseased pest impulsive transmission. (English) Zbl 1146.34322 Chaos Solitons Fractals 38, No. 3, 658-668 (2008). MSC: 34D23 92D30 34K45 34K35 PDFBibTeX XMLCite \textit{J. Jiao} et al., Chaos Solitons Fractals 38, No. 3, 658--668 (2008; Zbl 1146.34322) Full Text: DOI
Gakkhar, Sunita; Negi, Kuldeep Pulse vaccination in SIRS epidemic model with non-monotonic incidence rate. (English) Zbl 1131.92052 Chaos Solitons Fractals 35, No. 3, 626-638 (2008). MSC: 92D30 34A37 34D23 34C60 37N25 34D05 PDFBibTeX XMLCite \textit{S. Gakkhar} and \textit{K. Negi}, Chaos Solitons Fractals 35, No. 3, 626--638 (2008; Zbl 1131.92052) Full Text: DOI
Zhang, Zhonghua; Peng, Jigen; Zhang, Juan Analysis of a bacteria-immunity model with delay quorum sensing. (English) Zbl 1127.92029 J. Math. Anal. Appl. 340, No. 1, 102-115 (2008). MSC: 92C50 34K20 34K13 34K60 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Math. Anal. Appl. 340, No. 1, 102--115 (2008; Zbl 1127.92029) Full Text: DOI
Sriprom, M.; Barbazan, P.; Tang, I. M. Destabilizing effect of the host immune status on the sequential transmission dynamic of the dengue virus infection. (English) Zbl 1116.92059 Math. Comput. Modelling 45, No. 9-10, 1053-1066 (2007). MSC: 92D30 93A30 34D99 PDFBibTeX XMLCite \textit{M. Sriprom} et al., Math. Comput. Modelling 45, No. 9--10, 1053--1066 (2007; Zbl 1116.92059) Full Text: DOI
Fitzgibbon, W. E.; Langlais, M.; Morgan, J. J. A mathematical model for indirectly transmitted diseases. (English) Zbl 1124.35326 Math. Biosci. 206, No. 2, 233-248 (2007). Reviewer: Mohamed O. El-Doma (Beirut) MSC: 35K57 35B45 35B40 35B50 35B35 35A05 35R05 92D30 34D20 PDFBibTeX XMLCite \textit{W. E. Fitzgibbon} et al., Math. Biosci. 206, No. 2, 233--248 (2007; Zbl 1124.35326) Full Text: DOI
Jiao, Jianjun; Chen, Lansun A pest management SI model with periodic biological and chemical control concern. (English) Zbl 1104.92054 Appl. Math. Comput. 183, No. 2, 1018-1026 (2006). MSC: 92D30 34A37 93C15 93C95 34C25 PDFBibTeX XMLCite \textit{J. Jiao} and \textit{L. Chen}, Appl. Math. Comput. 183, No. 2, 1018--1026 (2006; Zbl 1104.92054) Full Text: DOI
Choisy, Marc; Guégan, Jean-François; Rohani, Pejman Dynamics of infectious diseases and pulse vaccination: Teasing apart the embedded resonance effects. (English) Zbl 1110.34031 Physica D 223, No. 1, 26-35 (2006). MSC: 34C60 34D05 34C25 92D30 PDFBibTeX XMLCite \textit{M. Choisy} et al., Physica D 223, No. 1, 26--35 (2006; Zbl 1110.34031) Full Text: DOI
Tang, Sanyi; Xiao, Yanni; Clancy, Damian New modelling approach concerning integrated disease control and cost-effectivity. (English) Zbl 1078.92059 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 3, 439-471 (2005). MSC: 92D30 34C25 34A37 49N90 93C95 PDFBibTeX XMLCite \textit{S. Tang} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 63, No. 3, 439--471 (2005; Zbl 1078.92059) Full Text: DOI
Kegan, Bonnie; West, R. Webster Modeling the simple epidemic with deterministic differential equations and random initial conditions. (English) Zbl 1065.92045 Math. Biosci. 195, No. 2, 179-193 (2005); erratum ibid. 197, No. 1, 118 (2005). MSC: 92D30 34F05 PDFBibTeX XMLCite \textit{B. Kegan} and \textit{R. W. West}, Math. Biosci. 195, No. 2, 179--193 (2005; Zbl 1065.92045) Full Text: DOI
Ghosh, Mini; Chandra, Peeyush; Sinha, Prawal; Shukla, J. B. Modelling the spread of bacterial disease: effect of service providers from an environmentally degraded region. (English) Zbl 1055.92050 Appl. Math. Comput. 160, No. 3, 615-647 (2005). MSC: 92D30 34D05 PDFBibTeX XMLCite \textit{M. Ghosh} et al., Appl. Math. Comput. 160, No. 3, 615--647 (2005; Zbl 1055.92050) Full Text: DOI
Greenhalgh, D.; Khan, Q. J. A.; Lewis, F. I. Hopf bifurcation in two SIRS density dependent epidemic models. (English) Zbl 1065.92042 Math. Comput. Modelling 39, No. 11-12, 1261-1283 (2004). MSC: 92D30 34K18 34K20 65C20 PDFBibTeX XMLCite \textit{D. Greenhalgh} et al., Math. Comput. Modelling 39, No. 11--12, 1261--1283 (2004; Zbl 1065.92042) Full Text: DOI
Zhou, Yicang; Liu, Hanwu Stability of periodic solutions for an SIS model with pulse vaccination. (English) Zbl 1045.92042 Math. Comput. Modelling 38, No. 3-4, 299-308 (2003). MSC: 92D30 34C25 34D23 34D05 PDFBibTeX XMLCite \textit{Y. Zhou} and \textit{H. Liu}, Math. Comput. Modelling 38, No. 3--4, 299--308 (2003; Zbl 1045.92042) Full Text: DOI
Kaplan, Edward H.; Craft, David L.; Wein, Lawrence M. Analyzing bioterror; response logistics: The case of smallpox. (English) Zbl 1035.92039 Math. Biosci. 185, No. 1, 33-72 (2003). MSC: 92D30 92C60 65L99 34A99 PDFBibTeX XMLCite \textit{E. H. Kaplan} et al., Math. Biosci. 185, No. 1, 33--72 (2003; Zbl 1035.92039) Full Text: DOI
Gallop, Robert J.; Mode, Charles J.; Sleeman, Candace K. Determination of threshold conditions for a non-linear stochastic partnership model for heterosexually transmitted diseases with stages. (English) Zbl 0999.92031 Math. Biosci. 177-178, 287-315 (2002). MSC: 92D30 34A99 60G35 PDFBibTeX XMLCite \textit{R. J. Gallop} et al., Math. Biosci. 177--178, 287--315 (2002; Zbl 0999.92031) Full Text: DOI
Zhang, Xin-An; Chen, Lansun The periodic solution of a class of epidemic models. (English) Zbl 0939.92031 Comput. Math. Appl. 38, No. 3-4, 61-71 (1999). MSC: 92D30 34C25 34D05 34D23 PDFBibTeX XMLCite \textit{X.-A. Zhang} and \textit{L. Chen}, Comput. Math. Appl. 38, No. 3--4, 61--71 (1999; Zbl 0939.92031) Full Text: DOI
Feng, Zhilan; Thieme, Horst R. Recurrent outbreaks of childhood diseases revisited: The impact of isolation. (English) Zbl 0833.92017 Math. Biosci. 128, No. 1-2, 93-130 (1995). MSC: 92D30 34C23 34D05 PDFBibTeX XMLCite \textit{Z. Feng} and \textit{H. R. Thieme}, Math. Biosci. 128, No. 1--2, 93--130 (1995; Zbl 0833.92017) Full Text: DOI
Srinivas, N. C.; Pattabhi Ramacharyulu, N. Ch. On the model of a virus disease with mutual interference. (English) Zbl 0781.92018 J. Math. Anal. Appl. 170, No. 1, 276-290 (1992). MSC: 92C50 34D05 34K20 PDFBibTeX XMLCite \textit{N. C. Srinivas} and \textit{N. Ch. Pattabhi Ramacharyulu}, J. Math. Anal. Appl. 170, No. 1, 276--290 (1992; Zbl 0781.92018) Full Text: DOI
Greenhalgh, David Some threshold and stability results for epidemic models with a density- dependent death rate. (English) Zbl 0759.92009 Theor. Popul. Biol. 42, No. 2, 130-151 (1992). MSC: 92D30 34D10 34D99 PDFBibTeX XMLCite \textit{D. Greenhalgh}, Theor. Popul. Biol. 42, No. 2, 130--151 (1992; Zbl 0759.92009) Full Text: DOI
Billard, L.; Zhao, Zhen Three-stage stochastic epidemic model: An application to AIDS. (English) Zbl 0741.92013 Math. Biosci. 107, No. 2, 431-449 (1991). MSC: 92D30 60J27 60J25 34K05 PDFBibTeX XMLCite \textit{L. Billard} and \textit{Z. Zhao}, Math. Biosci. 107, No. 2, 431--449 (1991; Zbl 0741.92013) Full Text: DOI
Adler, Frederick R.; Brunet, Robert C. The dynamics of simultaneous infections with altered susceptibilities. (English) Zbl 0818.92019 Theor. Popul. Biol. 40, No. 3, 369-410 (1991). MSC: 92D30 34C99 PDFBibTeX XMLCite \textit{F. R. Adler} and \textit{R. C. Brunet}, Theor. Popul. Biol. 40, No. 3, 369--410 (1991; Zbl 0818.92019) Full Text: DOI
Andreasen, Viggo Disease regulation of age-structured host populations. (English) Zbl 0688.92009 Theor. Popul. Biol. 36, No. 2, 214-239 (1989). MSC: 92D25 34C99 35Q99 PDFBibTeX XMLCite \textit{V. Andreasen}, Theor. Popul. Biol. 36, No. 2, 214--239 (1989; Zbl 0688.92009) Full Text: DOI
Gleißner, Winfried The spread of epidemics. (English) Zbl 0647.92012 Appl. Math. Comput. 27, No. 2, 167-171 (1988). MSC: 92D25 34A05 PDFBibTeX XMLCite \textit{W. Gleißner}, Appl. Math. Comput. 27, No. 2, 167--171 (1988; Zbl 0647.92012) Full Text: DOI
Beretta, E.; Capasso, V. On the general structure of epidemic systems. Global asymptotic stability. (English) Zbl 0622.92016 Comput. Math. Appl., Part A 12, 677-694 (1986). Reviewer: G.Karakostas MSC: 92D25 34D20 PDFBibTeX XMLCite \textit{E. Beretta} and \textit{V. Capasso}, Comput. Math. Appl., Part A 12, 677--694 (1986; Zbl 0622.92016) Full Text: DOI
Faddy, M. J. A note on the behavior of deterministic spatial epidemics. (English) Zbl 0592.92021 Math. Biosci. 80, 19-22 (1986). MSC: 92D25 34B05 PDFBibTeX XMLCite \textit{M. J. Faddy}, Math. Biosci. 80, 19--22 (1986; Zbl 0592.92021) Full Text: DOI
Tudor, David W. An age-dependent epidemic model with application to measles. (English) Zbl 0572.92023 Math. Biosci. 73, 131-147 (1985). Reviewer: W.Timischl MSC: 92D25 34D99 PDFBibTeX XMLCite \textit{D. W. Tudor}, Math. Biosci. 73, 131--147 (1985; Zbl 0572.92023) Full Text: DOI
Aronsson, Gunnar; Mellander, Ingvar A deterministic model in biomathematics. Asymptotic behavior and threshold conditions. (English) Zbl 0433.92025 Math. Biosci. 49, 207-222 (1980). MSC: 92D25 34C25 34D05 PDFBibTeX XMLCite \textit{G. Aronsson} and \textit{I. Mellander}, Math. Biosci. 49, 207--222 (1980; Zbl 0433.92025) Full Text: DOI
Green, David jun. Self-oscillations for epidemic models. (English) Zbl 0384.92013 Math. Biosci. 38, 91-111 (1978). MSC: 92D25 34K99 PDFBibTeX XMLCite \textit{D. Green jun.}, Math. Biosci. 38, 91--111 (1978; Zbl 0384.92013) Full Text: DOI
Hethcote, Herbert W. Qualitative analyses of communicable disease models. (English) Zbl 0326.92017 Math. Biosci. 28, 335-356 (1976). MSC: 92D25 34A99 PDFBibTeX XMLCite \textit{H. W. Hethcote}, Math. Biosci. 28, 335--356 (1976; Zbl 0326.92017) Full Text: DOI
Stirzaker, D. A singular perturbation analysis for models of schistosomiasis. (English) Zbl 0303.92008 Math. Biosci. 21, 183-205 (1974). MSC: 92D25 34A99 PDFBibTeX XMLCite \textit{D. Stirzaker}, Math. Biosci. 21, 183--205 (1974; Zbl 0303.92008) Full Text: DOI