-
1
-
-
0001098214
-
On determining phase spaces for functional differential equations
-
F. V. Atkinson and J. R. Haddock, On determining phase spaces for functional differential equations, Funkcial. Ekvac., 31 (1988), 331-347.
-
(1988)
Funkcial Ekvac.
, vol.31
, pp. 331-347
-
-
Atkinson, F.V.1
Haddock, J.R.2
-
2
-
-
0035425156
-
Global asymptotic stability of an SIR epidemic model with distributed time delay
-
E. Beretta, Hara T., Ma W. and Y. Takeuchi, Global asymptotic stability of an SIR epidemic model with distributed time delay, Nonlinear Anal., 47 (2001), 4107-4115.
-
(2001)
Nonlinear Anal.
, vol.47
, pp. 4107-4115
-
-
Beretta, E.1
Hara, T.2
Ma, W.3
Takeuchi, Y.4
-
3
-
-
0018041874
-
A generalization of the Kermack-McKendrick deterministic epidemic model
-
V. Capasso and G. Serio, A generalization of the Kermack-McKendrick deterministic epidemic model, Math. Biosci., 42 (1978), 43-61.
-
(1978)
Math. Biosci.
, vol.42
, pp. 43-61
-
-
Capasso, V.1
Serio, G.2
-
4
-
-
0003100558
-
Stability analysis for a vector disease model
-
K. L. Cooke, Stability analysis for a vector disease model, Rocky Mount. J. Math., 9 (1979), 31-42.
-
(1979)
Rocky Mount. J. Math.
, vol.9
, pp. 31-42
-
-
Cooke, K.L.1
-
6
-
-
0034923771
-
Endemic models for the spread of infectious diseases with arbitrarily distributed disease stages I: General theory
-
Z. Feng and H. Thieme, Endemic models for the spread of infectious diseases with arbitrarily distributed disease stages I: General theory, SIAM J. Appl. Math., 61 (2000), 803-833.
-
(2000)
SIAM J. Appl. Math.
, vol.61
, pp. 803-833
-
-
Feng, Z.1
Thieme, H.2
-
9
-
-
0002513583
-
Phase space for retarded equations with infinite delay
-
J. K. Hale and J. Kato, Phase space for retarded equations with infinite delay, Funkcial. Ekvac., 21 (1978), 11-41.
-
(1978)
Funkcial. Ekvac.
, vol.21
, pp. 11-41
-
-
Hale, J.K.1
Kato, J.2
-
10
-
-
0017228276
-
Qualitative analyses of communicable disease models
-
H. W. Hethcote, Qualitative analyses of communicable disease models, Math. Biosci., 28 (1976), 335-356.
-
(1976)
Math. Biosci.
, vol.28
, pp. 335-356
-
-
Hethcote, H.W.1
-
11
-
-
0034486891
-
The mathematics of infectious diseases
-
H. W. Hethcote, The mathematics of infectious diseases, SIAM Review, 42 (2000), 599-653.
-
(2000)
SIAM Review
, vol.42
, pp. 599-653
-
-
Hethcote, H.W.1
-
13
-
-
77954623221
-
Global stabilty for delay SIR and SEIR epidemic models with nonlinear incidence rate
-
doi:10.1007/s11538-009-9487-6
-
G. Huang, Y. Takeuchi, W. Ma and D. Wei, Global stabilty for delay SIR and SEIR epidemic models with nonlinear incidence rate, Bull. Math. Biol., 72 (2009), 1192-1207, doi:10.1007/s11538-009-9487-6.
-
(2009)
Bull. Math. Biol.
, vol.72
, pp. 1192-1207
-
-
Huang, G.1
Takeuchi, Y.2
Ma, W.3
Wei, D.4
-
14
-
-
34547655762
-
Global properties of infectious disease models with nonlinear incidence
-
A. Korobeinikov, Global properties of infectious disease models with nonlinear incidence, Bull. Math. Biol., 69 (2007), 1871-1886.
-
(2007)
Bull. Math. Biol.
, vol.69
, pp. 1871-1886
-
-
Korobeinikov, A.1
-
15
-
-
25144476559
-
Nonlinear incidence and stability of infectious disease models
-
A. Korobeinikov and P. K. Maini, Nonlinear incidence and stability of infectious disease models, Math. Med. and Biol., 22 (2005), 113-128.
-
(2005)
Math Med. and Biol.
, vol.22
, pp. 113-128
-
-
Korobeinikov, A.1
Maini, P.K.2
-
16
-
-
0003302813
-
Delay Differential Equations with Applications in Population Dynamics
-
Academic Press, Cambridge
-
Y. Kuang, "Delay Differential Equations with Applications in Population Dynamics," Mathematics in Science and Engineering, vol 191, Academic Press, Cambridge, 1993.
-
(1993)
Mathematics in Science and Engineering
, vol.191
-
-
Kuang, Y.1
-
17
-
-
77956234983
-
Impact of intracellular delays and target-cell dynamics on in vivo viral infections
-
M. Y. Li and H. Shu, Impact of intracellular delays and target-cell dynamics on in vivo viral infections, SIAM J. Appl. Math., 70 (2010), 2434-2448.
-
SIAM J. Appl. Math.
, vol.70
, Issue.2010
, pp. 2434-2448
-
-
Li, M.Y.1
Shu, H.2
-
18
-
-
0036986139
-
Permanence of an SIR epidemic model with distributed time delays
-
W. Ma, Y. Takeuchi, T. Hara and E. Beretta, Permanence of an SIR epidemic model with distributed time delays, Tohoku Math. J., 54 (2002), 581-591.
-
(2002)
Tohoku Math. J.
, vol.54
, pp. 581-591
-
-
Ma, W.1
Takeuchi, Y.2
Hara, T.3
Beretta, E.4
-
19
-
-
77953948341
-
Liapunov functional and global asymptotic stability for an infection-age model
-
P. Magal, C. C. McCluskey and G. Webb, Liapunov functional and global asymptotic stability for an infection-age model, Applicable Analysis, 89 (2010), 1109-1140.
-
Applicable Analysis
, vol.89
, Issue.2010
, pp. 1109-1140
-
-
Magal, P.1
McCluskey, C.C.2
Webb, G.3
-
20
-
-
70349392965
-
Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
-
C. C. McCluskey, Global stability for an SEIR epidemiological model with varying infectivity and infinite delay, Math. Biosci. and Eng., 6 (2009), 603-610.
-
(2009)
Math. Biosci. and Eng.
, vol.6
, pp. 603-610
-
-
McCluskey, C.C.1
-
21
-
-
70350722240
-
Complete global stability for an SIR epidemic model with delay-distributed or discrete
-
C. C. McCluskey, Complete global stability for an SIR epidemic model with delay-distributed or discrete, Nonlinear Anal. RWA, 11 (2010), 55-59.
-
Nonlinear Anal. RWA
, vol.11
, Issue.2010
, pp. 55-59
-
-
McCluskey, C.C.1
-
22
-
-
77954634545
-
Global stability for an SIR epidemic model with delay and nonlinear incidence
-
C. C. McCluskey, Global stability for an SIR epidemic model with delay and nonlinear incidence, Nonlinear Anal. RWA, 11 (2010), 3106-3109.
-
Nonlinear Anal. RWA
, vol.11
, Issue.2010
, pp. 3106-3109
-
-
McCluskey, C.C.1
-
23
-
-
0343442479
-
Global asymptotic properties of a delay SIR epidemic model with finite incubation times
-
Y. Takeuchi, W. Ma and E. Beretta, Global asymptotic properties of a delay SIR epidemic model with finite incubation times, Nonlinear Anal., 42 (2000), 931-947.
-
(2000)
Nonlinear Anal.
, vol.42
, pp. 931-947
-
-
Takeuchi, Y.1
Ma, W.2
Beretta, E.3
-
24
-
-
64049103800
-
Global stability of a SIR epidemic model with nonlinear incidence rate and time delay
-
R. Xu and Z. Ma, Global stability of a SIR epidemic model with nonlinear incidence rate and time delay, Nonlinear Anal. RWA, 10 (2009), 3175-3189.
-
(2009)
Nonlinear Anal. RWA
, vol.10
, pp. 3175-3189
-
-
Xu, R.1
Ma, Z.2
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