-
2
-
-
0029190838
-
Global stability of an SIR epidemic model with time delays
-
0811.92019 10.1007/BF00169563 1331508
-
E. Beretta Y. Takeuchi 1995 Global stability of an SIR epidemic model with time delays J. Math. Biol. 33 3 250 260 0811.92019 10.1007/BF00169563 1331508
-
(1995)
J. Math. Biol.
, vol.33
, Issue.3
, pp. 250-260
-
-
Beretta, E.1
Takeuchi, Y.2
-
3
-
-
0035425156
-
Global asymptotic stability of an SIR epidemic model with distributed time delay
-
1042.34585 10.1016/S0362-546X(01)00528-4 1972351
-
E. Beretta T. Hara W.B. Ma Y. Takenchi 2001 Global asymptotic stability of an SIR epidemic model with distributed time delay Nonlinear Anal. 47 4107 4115 1042.34585 10.1016/S0362-546X(01)00528-4 1972351
-
(2001)
Nonlinear Anal.
, vol.47
, pp. 4107-4115
-
-
Beretta, E.1
Hara, T.2
Ma, W.B.3
Takenchi, Y.4
-
4
-
-
0343442479
-
Global asymptotic properties of a delay SIR epidemic model with finite incubation times
-
DOI 10.1016/S0362-546X(99)00138-8
-
Y. Takeuchi W.B. Ma E. Beretta 2000 Global asymptotic properties of a delay SIR epidemic model with finite incubation times Nonlinear Anal. 42 931 947 10.1016/S0362-546X(99)00138-8 1780445 (Pubitemid 30918925)
-
(2000)
Nonlinear Analysis, Theory, Methods and Applications
, vol.42
, Issue.6
, pp. 931-947
-
-
Takeuchi, Y.1
Ma, W.2
Beretta, E.3
-
5
-
-
10644240707
-
Global stability of an SIR epidemic model with time delay
-
1071.34082 10.1016/j.aml.2003.11.005 2091848
-
W.B. Ma M. Song Y. Takeuchi 2004 Global stability of an SIR epidemic model with time delay Appl. Math. Lett. 17 1141 1145 1071.34082 10.1016/j.aml.2003.11.005 2091848
-
(2004)
Appl. Math. Lett.
, vol.17
, pp. 1141-1145
-
-
Ma, W.B.1
Song, M.2
Takeuchi, Y.3
-
6
-
-
33846576177
-
Permanence of a delayed SIR epidemic model with density dependent birth rate
-
DOI 10.1016/j.cam.2005.12.039, PII S0377042706000926, Dynamical Systems Theory and Its Applications to Biology and Environmental Sciences
-
M. Song W.B. Ma Y. Takeuchi 2007 Permanence of a delayed SIR epidemic model with density dependent birth rate J. Comput. Appl. Math. 201 2 389 394 1117.34310 10.1016/j.cam.2005.12.039 2296865 (Pubitemid 46176492)
-
(2007)
Journal of Computational and Applied Mathematics
, vol.201
, Issue.2
, pp. 389-394
-
-
Song, M.1
Ma, W.2
Takeuchi, Y.3
-
7
-
-
0036986139
-
Permanence of an SIR epidemic model with distributed time delays
-
1014.92033 10.2748/tmj/1113247650 1936269
-
W.B. Ma Y. Takeuchi T. Hara E. Beretta 2002 Permanence of an SIR epidemic model with distributed time delays Tohoku Math. J. 54 581 591 1014.92033 10.2748/tmj/1113247650 1936269
-
(2002)
Tohoku Math. J.
, vol.54
, pp. 581-591
-
-
Ma, W.B.1
Takeuchi, Y.2
Hara, T.3
Beretta, E.4
-
8
-
-
54049119675
-
Permanence and extinction for a nonautonomous SIRS epidemic model with time delay
-
1168.34358 10.1016/j.apm.2007.12.020 2468505
-
T.L. Zhang Z.D. Teng 2009 Permanence and extinction for a nonautonomous SIRS epidemic model with time delay Appl. Math. Model. 33 2 1058 1071 1168.34358 10.1016/j.apm.2007.12.020 2468505
-
(2009)
Appl. Math. Model.
, vol.33
, Issue.2
, pp. 1058-1071
-
-
Zhang, T.L.1
Teng, Z.D.2
-
9
-
-
43649100484
-
Global behavior and permanence of SIRS epidemic model with time delay
-
DOI 10.1016/j.nonrwa.2007.03.010, PII S1468121807000612
-
T.L. Zhang Z.D. Teng 2008 Global behavior and permanence of SIRS epidemic model with time delay Nonlinear Anal.: Real World Appl. 9 4 1409 1424 1154.34390 10.1016/j.nonrwa.2007.03.010 2422552 (Pubitemid 351685787)
-
(2008)
Nonlinear Analysis: Real World Applications
, vol.9
, Issue.4
, pp. 1409-1424
-
-
Zhang, T.1
Teng, Z.2
-
10
-
-
39449119838
-
The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
-
DOI 10.1016/j.amc.2007.07.083, PII S0096300307008041
-
X.Z. Meng L.S. Chen 2008 The dynamics of a new SIR epidemic model concerning pulse vaccination strategy Appl. Math. Comput. 197 2 582 597 1131.92056 10.1016/j.amc.2007.07.083 2400680 (Pubitemid 351273773)
-
(2008)
Applied Mathematics and Computation
, vol.197
, Issue.2
, pp. 582-597
-
-
Meng, X.1
Chen, L.2
-
11
-
-
0032213158
-
Pulse vaccination strategy in the SIR epidemic model
-
10.1016/S0092-8240(98)90005-2
-
B. Shulgin L. Stone Z. Agur 1998 Pulse vaccination strategy in the SIR epidemic model Bull. Math. Biol. 60 1 26 10.1016/S0092-8240(98)90005-2
-
(1998)
Bull. Math. Biol.
, vol.60
, pp. 1-26
-
-
Shulgin, B.1
Stone, L.2
Agur, Z.3
-
12
-
-
0037195889
-
The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission
-
1023.92026 10.1016/S0895-7177(02)00257-1 1945059
-
Z.H. Lu X.B. Chi L.S. Chen 2002 The effect of constant and pulse vaccination on SIR epidemic model with horizontal and vertical transmission Math. Comput. Model. 36 1039 1057 1023.92026 10.1016/S0895-7177(02)00257-1 1945059
-
(2002)
Math. Comput. Model.
, vol.36
, pp. 1039-1057
-
-
Lu, Z.H.1
Chi, X.B.2
Chen, L.S.3
-
13
-
-
18144413585
-
On pulse vaccination strategy in the SIR epidemic model with vertical transmission
-
1064.92041 10.1016/j.aml.2004.05.012 2144719
-
A. D'Onofrio 2005 On pulse vaccination strategy in the SIR epidemic model with vertical transmission Appl. Math. Lett. 18 729 732 1064.92041 10.1016/j.aml.2004.05.012 2144719
-
(2005)
Appl. Math. Lett.
, vol.18
, pp. 729-732
-
-
D'Onofrio, A.1
-
14
-
-
2942631566
-
Impulsive vaccination of SIR epidemic models with nonlinear incidence rates
-
1100.92040 10.3934/dcdsb.2004.4.595 2073963
-
J. Hui L.S. Chen 2004 Impulsive vaccination of SIR epidemic models with nonlinear incidence rates Discrete Continuous Dyn. Syst. Ser. B 4 595 605 1100.92040 10.3934/dcdsb.2004.4.595 2073963
-
(2004)
Discrete Continuous Dyn. Syst. Ser. B
, vol.4
, pp. 595-605
-
-
Hui, J.1
Chen, L.S.2
-
16
-
-
0028771291
-
The epidemiology of measles in England and Wales: Rationale for 1994 nation vaccination campaign
-
M. Ramsay N. Gay E. Miller 1994 The epidemiology of measles in England and Wales: Rationale for 1994 nation vaccination campaign Commun. Dis. Rep. 4 12 141 146
-
(1994)
Commun. Dis. Rep.
, vol.4
, Issue.12
, pp. 141-146
-
-
Ramsay, M.1
Gay, N.2
Miller, E.3
-
17
-
-
0026035347
-
Measles, killer of millions in developing countries: Strategies of elimination and continuation control
-
A.B. Sabin 1991 Measles, killer of millions in developing countries: Strategies of elimination and continuation control Eur. J. Epidemiology 7 1 22
-
(1991)
Eur. J. Epidemiology
, vol.7
, pp. 1-22
-
-
Sabin, A.B.1
-
18
-
-
84863116818
-
An impulsive predator-prey system with Beddington-Deangelis functional response and time delay
-
1155.92045 10.1142/S1793524508000072 2419643
-
H. Zhang P. Georgescu L.S. Chen 2008 An impulsive predator-prey system with Beddington-Deangelis functional response and time delay Int. J. Biomath. 1 1 1 17 1155.92045 10.1142/S1793524508000072 2419643
-
(2008)
Int. J. Biomath.
, vol.1
, Issue.1
, pp. 1-17
-
-
Zhang, H.1
Georgescu, P.2
Chen, L.S.3
-
19
-
-
84863116571
-
Permanence and complexity of the eco-epidemiological model with impulsive perturbation
-
1166.92039 10.1142/S1793524508000102 2444290
-
S.L. Sun L.S. Chen 2008 Permanence and complexity of the eco-epidemiological model with impulsive perturbation Int. J. Biomath. 1 2 121 132 1166.92039 10.1142/S1793524508000102 2444290
-
(2008)
Int. J. Biomath.
, vol.1
, Issue.2
, pp. 121-132
-
-
Sun, S.L.1
Chen, L.S.2
-
20
-
-
33746000128
-
Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations
-
DOI 10.1016/j.chaos.2005.09.059, PII S0960077905009306
-
B. Liu Z.D. Teng W.B. Liu 2007 Dynamic behaviors of the periodic Lotka-Volterra competing system with impulsive perturbations Chaos Solitons Fractals 31 2 356 370 1145.34029 10.1016/j.chaos.2005.09.059 2259761 (Pubitemid 44067459)
-
(2007)
Chaos, Solitons and Fractals
, vol.31
, Issue.2
, pp. 356-370
-
-
Liu, B.1
Teng, Z.2
Liu, W.3
-
21
-
-
70450270997
-
Periodic solution of a turbidostat model with impulsive state feedback control
-
(in press). doi 10.1007/s11071-009-9498-8
-
Li, Z.X., Chen, L.S.: Periodic solution of a turbidostat model with impulsive state feedback control. Nonlinear Dyn. (in press). doi 10.1007/s11071-009-9498-8
-
Nonlinear Dyn.
-
-
Li, Z.X.1
Chen, L.S.2
-
22
-
-
67449138477
-
Dynamic analysis of mathematical model of ethanol fermentation with gas stripping
-
1176.92058 10.1007/s11071-008-9415-6 2511152
-
C.J. Wei L.S. Chen 2009 Dynamic analysis of mathematical model of ethanol fermentation with gas stripping Nonlinear Dyn. 57 1-2 13 23 1176.92058 10.1007/s11071-008-9415-6 2511152
-
(2009)
Nonlinear Dyn.
, vol.57
, Issue.12
, pp. 13-23
-
-
Wei, C.J.1
Chen, L.S.2
-
23
-
-
70349202857
-
The study of a ratio-dependent predator-prey model with stage structure in the prey
-
(in press). doi 10.1007/s11071-009-9491-2
-
Shi, R.Q., Chen, L.S.: The study of a ratio-dependent predator-prey model with stage structure in the prey. Nonlinear Dyn. (in press). doi 10.1007/s11071-009-9491-2
-
Nonlinear Dyn
-
-
Shi, R.Q.1
Chen, L.S.2
-
24
-
-
0003100558
-
Stability analysis for a vector disease model
-
0423.92029 10.1216/RMJ-1979-9-1-31 517971
-
K.L. Cooke 1979 Stability analysis for a vector disease model Rocky Mt. J. Math. 9 31 42 0423.92029 10.1216/RMJ-1979-9-1-31 517971
-
(1979)
Rocky Mt. J. Math.
, vol.9
, pp. 31-42
-
-
Cooke, K.L.1
-
25
-
-
40649091581
-
An epidemic model of a vector-borne disease with direct transmission and time delay
-
1146.34059 10.1016/j.jmaa.2007.12.058 2445247
-
H. Wei X. Li M. Martcheva 2008 An epidemic model of a vector-borne disease with direct transmission and time delay J. Math. Anal. Appl. 342 895 908 1146.34059 10.1016/j.jmaa.2007.12.058 2445247
-
(2008)
J. Math. Anal. Appl.
, vol.342
, pp. 895-908
-
-
Wei, H.1
Li, X.2
Martcheva, M.3
-
26
-
-
33847642648
-
Asymptotic properties of an HIV/AIDS model with a time delay
-
1110.92043 10.1016/j.jmaa.2006.07.102 2308417
-
Z. Mukandavire W. Garira C. Chiyaka 2007 Asymptotic properties of an HIV/AIDS model with a time delay J. Math. Anal. Appl. 330 916 933 1110.92043 10.1016/j.jmaa.2006.07.102 2308417
-
(2007)
J. Math. Anal. Appl.
, vol.330
, pp. 916-933
-
-
Mukandavire, Z.1
Garira, W.2
Chiyaka, C.3
-
27
-
-
34548816975
-
Global stability for a class of mass action systems allowing for latency in tuberculosis
-
1131.92042 10.1016/j.jmaa.2007.05.012 2386435
-
C. McCluskey 2008 Global stability for a class of mass action systems allowing for latency in tuberculosis J. Math. Anal. Appl. 338 518 535 1131.92042 10.1016/j.jmaa.2007.05.012 2386435
-
(2008)
J. Math. Anal. Appl.
, vol.338
, pp. 518-535
-
-
McCluskey, C.1
-
28
-
-
0002784039
-
Modeling and analysis of a marine bacteriophage infection with latency period
-
DOI 10.1016/S0362-546X(99)00285-0, PII S0362546X99002850
-
E. Beretta Y. Luang 2001 Modeling and analysis of a marine bacteriophage infection with latency period Nonlinear Anal.: Real World Appl. 2 35 74 1015.92049 10.1016/S0362-546X(99)00285-0 1809864 (Pubitemid 33634148)
-
(2001)
Nonlinear Analysis: Real World Applications
, vol.2
, Issue.1
, pp. 35-74
-
-
Beretta, E.1
Kuang, Y.2
-
29
-
-
36148974314
-
Role of latency period in viral infection: A pest control model
-
DOI 10.1016/j.mbs.2007.07.002, PII S0025556407001484
-
S. Ghosh S. Bhattacharyya D.K. Bhattacharya 2007 Role of latency period in viral infection: A pest control model Math. Biosci. 210 619 646 1133.92024 10.1016/j.mbs.2007.07.002 2374485 (Pubitemid 350116908)
-
(2007)
Mathematical Biosciences
, vol.210
, Issue.2
, pp. 619-646
-
-
Ghosh, S.1
Bhattacharyya, S.2
Bhattacharya, D.K.3
-
30
-
-
33947200296
-
Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination
-
DOI 10.1016/j.amc.2006.07.124, PII S0096300306009623
-
X. Meng L. Chen H. Cheng 2007 Two profitless delays for the SEIRS epidemic disease model with nonlinear incidence and pulse vaccination Appl. Math. Comput. 186 516 529 1111.92049 10.1016/j.amc.2006.07.124 2314511 (Pubitemid 46435636)
-
(2007)
Applied Mathematics and Computation
, vol.186
, Issue.1
, pp. 516-529
-
-
Meng, X.1
Chen, L.2
Cheng, H.3
-
31
-
-
0023070210
-
Influence of nonlinear incidence rates upon the behavior of SIRS Epidemiological models
-
0621.92014 10.1007/BF00277162 908379
-
Wei-min S.A. Levin Y. Lwasa 1987 Influence of nonlinear incidence rates upon the behavior of SIRS Epidemiological models J. Math. Biol. 25 359 380 0621.92014 10.1007/BF00277162 908379
-
(1987)
J. Math. Biol.
, vol.25
, pp. 359-380
-
-
Wei-Min1
Levin, S.A.2
Lwasa, Y.3
-
32
-
-
33845804777
-
Dynamical behavior of epidemiological models with nonlinear incidence rates
-
0582.92023 10.1007/BF00276956 829132
-
Wei-min H.W. Hethcote S.A. Levin 1986 Dynamical behavior of epidemiological models with nonlinear incidence rates J. Math. Biol. 23 187 240 0582.92023 10.1007/BF00276956 829132
-
(1986)
J. Math. Biol.
, vol.23
, pp. 187-240
-
-
Wei-Min1
Hethcote, H.W.2
Levin, S.A.3
|