-
1
-
-
0034486891
-
The mathematics of infectious diseases
-
H. W. Hethcote, The mathematics of infectious diseases, SIAM Rev. 42(4) (2000) 599-653.
-
(2000)
SIAM Rev.
, vol.42
, Issue.4
, pp. 599-653
-
-
Hethcote, H.W.1
-
2
-
-
0000824569
-
Three basic epidemiological models
-
eds. L. Gross, T. G. Hallam and S. A. Levin (Springer-Verlag, Berlin
-
H. W. Hethcote, Three basic epidemiological models, in Applied Mathematical Ecology, eds. L. Gross, T. G. Hallam and S. A. Levin (Springer-Verlag, Berlin, 1989), pp. 119-144.
-
(1989)
Applied Mathematical Ecology
, pp. 119-144
-
-
Hethcote, H.W.1
-
3
-
-
0034143395
-
Theoretical examination of the pulse vaccination policy in the SIR epidemic model
-
L. Stone, B. Shulgin and Z. Agur, Theoretical examination of the pulse vaccination policy in the SIR epidemic model, Math. Comput. Model. 31(4-5) (2000) 207-215.
-
(2000)
Math. Comput. Model.
, vol.31
, Issue.4-5
, pp. 207-215
-
-
Stone, L.1
Shulgin, B.2
Agur, Z.3
-
4
-
-
77957177077
-
The control of childhood viral infections by pulse vaccination
-
D. J. Nokes and J. Swinton, The control of childhood viral infections by pulse vaccination, IMA J. Math. Appl. Med. Biol. 12 (1995) 29-53.
-
(1995)
IMA J. Math. Appl. Med. Biol.
, vol.12
, pp. 29-53
-
-
Nokes, D.J.1
Swinton, J.2
-
5
-
-
0037200435
-
Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures
-
A. d'onofrio, Pulse vaccination strategy in the SIR epidemic model: Global asymptotic stable eradication in presence of vaccine failures, Math. Comput. Model. 96(4-5) (2002) 473-489.
-
(2002)
Math. Comput. Model.
, vol.96
, Issue.4-5
, pp. 473-489
-
-
D'onofrio, A.1
-
6
-
-
0036291194
-
Stability properties of pulse vaccination strategy in SEIR epidemic model
-
A. d'onofrio, Stability properties of pulse vaccination strategy in SEIR epidemic model, Math. Biosci. 179(1) (2002) 57-72.
-
(2002)
Math. Biosci.
, vol.179
, Issue.1
, pp. 57-72
-
-
Donofrio, A.1
-
7
-
-
0037431579
-
Globally stable vaccine-induced eradication of horizontally and vertically transmitted infectious diseases with periodic contact rates and diseasedependent demographic factors in the population
-
A. d'Onofrio, Globally stable vaccine-induced eradication of horizontally and vertically transmitted infectious diseases with periodic contact rates and diseasedependent demographic factors in the population, Appl. Math. Comput. 140 (2003) 537-547.
-
(2003)
Appl. Math. Comput.
, vol.140
, pp. 537-547
-
-
Donofrio, A.1
-
8
-
-
0141615743
-
Stability of periodic solutions for an SIS model with pulse vaccination
-
Y. Zhou and H. Liu, Stability of periodic solutions for an SIS model with pulse vaccination, Math. Comput. Model. 38 (2003) 299-308.
-
(2003)
Math. Comput. Model.
, vol.38
, pp. 299-308
-
-
Zhou, Y.1
Liu, H.2
-
9
-
-
1242264916
-
Mixed pulse vaccination strategy in epidemic model with realistically distributed infectious and latent times
-
A. d'Onofrio, Mixed pulse vaccination strategy in epidemic model with realistically distributed infectious and latent times, Appl. Math. Comput. 151 (2004) 181-187.
-
(2004)
Appl. Math. Comput.
, vol.151
, pp. 181-187
-
-
D'Onofrio, A.1
-
10
-
-
9644278189
-
Asymptotic behavior of an SI epidemic model with pulse removal
-
K. M. Fuhrman, I. G. Lauko and G. A. Pinter, Asymptotic behavior of an SI epidemic model with pulse removal, Math. Comput. Model. 40 (2004) 371-386.
-
(2004)
Math. Comput. Model.
, vol.40
, pp. 371-386
-
-
Fuhrman, K.M.1
Lauko, I.G.2
Pinter, G.A.3
-
12
-
-
0002176675
-
The effect of environmental disturbance on the dynamics of marine intertidal populations
-
Z. L. Agur and J. L. Deneubourg, The effect of environmental disturbance on the dynamics of marine intertidal populations, Theor. Pop. Biol. 27 (1985) 75-90.
-
(1985)
Theor. Pop. Biol.
, vol.27
, pp. 75-90
-
-
Agur, Z.L.1
Deneubourg, J.L.2
-
13
-
-
0027136227
-
Pulse mass measles vaccination across age cohorts
-
Z. L. Agur et. al., Pulse mass measles vaccination across age cohorts, Proc. Natl. Acad Sci. USA 90 (1993) 11698-11702.
-
(1993)
Proc. Natl. Acad Sci. USA
, vol.90
, pp. 11698-11702
-
-
Agur, Z.L.1
-
14
-
-
0012460662
-
A method to estimate the incidence of communicable diseases under seasonal fluctuations with application to cholera
-
E. Pourabbas, A. d'Onofrio and M. Rafanelli, A method to estimate the incidence of communicable diseases under seasonal fluctuations with application to cholera, Appl. Math. Comput. 118 (2001) 161-174.
-
(2001)
Appl. Math. Comput.
, vol.118
, pp. 161-174
-
-
Pourabbas, E.1
D'Onofrio, A.2
Rafanelli, M.3
-
15
-
-
0020963836
-
Subharmonic bifurcation in a SIR epidemic model
-
H. L. Smith, Subharmonic bifurcation in a SIR epidemic model, J. Math. Biol. 17 (1983) 163-177.
-
(1983)
J. Math. Biol.
, vol.17
, pp. 163-177
-
-
Smith, H.L.1
-
16
-
-
0026451408
-
Small amplitude, long period outbreaks in seasonally driven epidemic
-
I. B. Schwartz, Small amplitude, long period outbreaks in seasonally driven epidemic, J. Math. Biol. 30 (1992) 473-491.
-
(1992)
J. Math. Biol.
, vol.30
, pp. 473-491
-
-
Schwartz, I.B.1
-
17
-
-
36448974335
-
Some global results for nonlinear eigenvalue problems
-
P. H. Rabinowitz, Some global results for nonlinear eigenvalue problems, J. Funct. Anal. 7 (1971) 487-513.
-
(1971)
J. Funct. Anal.
, vol.7
, pp. 487-513
-
-
Rabinowitz, P.H.1
-
20
-
-
3042704738
-
The periodic competing Lotka-Volterra model with impulsive effect
-
B. Liu and L. Chen, The periodic competing Lotka-Volterra model with impulsive effect, Math. Med. Biol. 21 (2004) 129-145.
-
(2004)
Math. Med. Biol.
, vol.21
, pp. 129-145
-
-
Liu, B.1
Chen, L.2
-
21
-
-
4744357307
-
Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects
-
J. Hui and L. Chen, Existence of positive periodic solution of periodic time-dependent predator-prey system with impulsive effects, Acta. Math. Sinica 20(3) (2004) 423-432.
-
(2004)
Acta. Math. Sinica
, vol.20
, Issue.3
, pp. 423-432
-
-
Hui, J.1
Chen, L.2
-
22
-
-
0040036144
-
The methods of Lyapunov and Schmidt in the theorey of nonlinear equations and further development
-
M. V. Vainberg and V. A. Trenogrn, The methods of Lyapunov and Schmidt in the theorey of nonlinear equations and further development, Russian Math. Surv. 17(2) (1962) 1-60.
-
(1962)
Russian Math. Surv.
, vol.17
, Issue.2
, pp. 1-60
-
-
Vainberg, M.V.1
Trenogrn, V.A.2
-
23
-
-
0030825041
-
Infectious disease persistence when transmision varies seasonally
-
B. G. Williams and C. Dye, Infectious disease persistence when transmision varies seasonally, Math. Biosci. 157 (1997) 77-88.
-
(1997)
Math. Biosci.
, vol.157
, pp. 77-88
-
-
Williams, B.G.1
Dye, C.2
-
24
-
-
0032213158
-
Pulse vaccination strategy in the SIR epidemic model
-
B. Shulgin, L. Stone and Z. Agur, Pulse vaccination strategy in the SIR epidemic model, Bull. Math. Biol. 60 (1998) 1123-1148.
-
(1998)
Bull. Math. Biol.
, vol.60
, pp. 1123-1148
-
-
Shulgin, B.1
Stone, L.2
Agur, Z.3
-
25
-
-
0036681280
-
Periodic solutions for delay differential equations model of plankton allelopathy
-
J. Zhen and Z. Ma, Periodic solutions for delay differential equations model of plankton allelopathy, Comput. Math. Appl. 44 (2002) 491-500.
-
(2002)
Comput. Math. Appl.
, vol.44
, pp. 491-500
-
-
Zhen, J.1
Ma, Z.2
-
26
-
-
1842476842
-
The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive
-
J. Zhen, Z. Ma and M. Han, The existence of periodic solutions of the n-species Lotka-Volterra competition systems with impulsive, Chaos Solitons Fractals 22 (2004) 181-188.
-
(2004)
Chaos Solitons Fractals
, vol.22
, pp. 181-188
-
-
Zhen, J.1
Ma, Z.2
Han, M.3
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