-
1
-
-
67349181300
-
The effects of human movement on the persistence of vector-borne diseases
-
Cosner C., Beier J.C., Cantrell R.S., Impoinvil D., Kapitanski L., Potts M.D., Troyo A., Ruan S. The effects of human movement on the persistence of vector-borne diseases. J. Theor. Biol. 2009, 258:550.
-
(2009)
J. Theor. Biol.
, vol.258
, pp. 550
-
-
Cosner, C.1
Beier, J.C.2
Cantrell, R.S.3
Impoinvil, D.4
Kapitanski, L.5
Potts, M.D.6
Troyo, A.7
Ruan, S.8
-
2
-
-
33644916450
-
Spreading disease with transport-related infection
-
Cui J., Takeuchi Y., Saito Y. Spreading disease with transport-related infection. J. Theor. Biol. 2006, 239:376.
-
(2006)
J. Theor. Biol.
, vol.239
, pp. 376
-
-
Cui, J.1
Takeuchi, Y.2
Saito, Y.3
-
3
-
-
58049150240
-
A SIS infection model incorporating media coverage
-
Cui J., Tao X., Zhu H. A SIS infection model incorporating media coverage. Rocky Mount. J. Math. 2008, 38:1323.
-
(2008)
Rocky Mount. J. Math.
, vol.38
, pp. 1323
-
-
Cui, J.1
Tao, X.2
Zhu, H.3
-
4
-
-
79960133790
-
-
A multi-patch malaria model with logistic growth populations, submitted for publication.
-
D. Gao, S. Ruan, A multi-patch malaria model with logistic growth populations, submitted for publication.
-
-
-
Gao, D.1
Ruan, S.2
-
5
-
-
0030976773
-
Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity
-
Greenhalgh D. Hopf bifurcation in epidemic models with a latent period and nonpermanent immunity. Math. Comput. Model. 1997, 25(2):85.
-
(1997)
Math. Comput. Model.
, vol.25
, Issue.2
, pp. 85
-
-
Greenhalgh, D.1
-
6
-
-
49549088357
-
Monotone dependence of the spectral bound on the transition rates in linear compartmental models
-
Hadeler K.P., Thieme H.R. Monotone dependence of the spectral bound on the transition rates in linear compartmental models. J. Math. Biol. 2008, 57:697.
-
(2008)
J. Math. Biol.
, vol.57
, pp. 697
-
-
Hadeler, K.P.1
Thieme, H.R.2
-
7
-
-
19044385162
-
The effect of population dispersal on the spread of a disease
-
Jin Y., Wang W. The effect of population dispersal on the spread of a disease. J. Math. Anal. Appl. 2005, 308:343.
-
(2005)
J. Math. Anal. Appl.
, vol.308
, pp. 343
-
-
Jin, Y.1
Wang, W.2
-
8
-
-
43049098171
-
Computation of threshold conditions for epidemiological models and global stability of the disease-free equilibrium (DFE)
-
Kamgang J.C., Sallet G. Computation of threshold conditions for epidemiological models and global stability of the disease-free equilibrium (DFE). Math. Biosci. 2008, 213:1.
-
(2008)
Math. Biosci.
, vol.213
, pp. 1
-
-
Kamgang, J.C.1
Sallet, G.2
-
9
-
-
34547994523
-
Media/psychological impact on multiple outbreaks of emerging infectious diseases
-
Liu R., Wu J., Zhu H. Media/psychological impact on multiple outbreaks of emerging infectious diseases. Comput. Math. Methods Med. 2007, 8:153.
-
(2007)
Comput. Math. Methods Med.
, vol.8
, pp. 153
-
-
Liu, R.1
Wu, J.2
Zhu, H.3
-
10
-
-
79960119312
-
-
Get the news out loudly and quickly: modeling the influence of the media on limiting infectious disease outbreaks, 2010. Available from: .
-
A. Mummert, H. Weiss, Get the news out loudly and quickly: modeling the influence of the media on limiting infectious disease outbreaks, 2010. Available from: arxiv:1006.5028v2.
-
-
-
Mummert, A.1
Weiss, H.2
-
12
-
-
0025419076
-
Global stabilization of nonlinear cascade systems
-
Seibert P., Suarez R. Global stabilization of nonlinear cascade systems. Syst. Control Lett. 1990, 14:347.
-
(1990)
Syst. Control Lett.
, vol.14
, pp. 347
-
-
Seibert, P.1
Suarez, R.2
-
13
-
-
0003270907
-
Monotone Dynamical Systems: An Introduction to the theory of Competitive and Cooperative Systems
-
AMS, Providence, RI
-
Smith H.L. Monotone Dynamical Systems: An Introduction to the theory of Competitive and Cooperative Systems. Mathematical Surveys and Monographs 1995, vol. 41. AMS, Providence, RI.
-
(1995)
Mathematical Surveys and Monographs
, vol.41
-
-
Smith, H.L.1
-
14
-
-
22444452981
-
Perturbation of a globally stable steady state
-
Smith H.L., Waltman P. Perturbation of a globally stable steady state. Proc. Amer. Math. Soc. 1999, 127:447.
-
(1999)
Proc. Amer. Math. Soc.
, vol.127
, pp. 447
-
-
Smith, H.L.1
Waltman, P.2
-
15
-
-
0033164394
-
Dynamics of a periodically pulsed bio-reactor model
-
Smith H.L., Zhao X.-Q. Dynamics of a periodically pulsed bio-reactor model. J. Differ. Equat. 1999, 155:368.
-
(1999)
J. Differ. Equat.
, vol.155
, pp. 368
-
-
Smith, H.L.1
Zhao, X.-Q.2
-
16
-
-
79952699822
-
Effect of media-induced social distancing on disease transmission in a two patch setting
-
Sun C., Wei Y., Arino J., Khan K. Effect of media-induced social distancing on disease transmission in a two patch setting. Math. Biosci. 2011, 230:87.
-
(2011)
Math. Biosci.
, vol.230
, pp. 87
-
-
Sun, C.1
Wei, Y.2
Arino, J.3
Khan, K.4
-
17
-
-
0039591930
-
Persistence under relaxed point-dissipativity (with application to an endemic model)
-
Thieme H.R. Persistence under relaxed point-dissipativity (with application to an endemic model). SIAM J. Math. Anal. 1993, 24:407.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 407
-
-
Thieme, H.R.1
-
18
-
-
0036845274
-
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission
-
van den Driessche P., Watmough J. Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Math. Biosci. 2002, 180:29.
-
(2002)
Math. Biosci.
, vol.180
, pp. 29
-
-
van den Driessche, P.1
Watmough, J.2
-
19
-
-
0019049056
-
Decomposition techniques for large-scale systems with nonadditive interactions: stability and stabilizability
-
Vidyasagar M. Decomposition techniques for large-scale systems with nonadditive interactions: stability and stabilizability. IEEE Trans. Automat. Control 1980, 25:773.
-
(1980)
IEEE Trans. Automat. Control
, vol.25
, pp. 773
-
-
Vidyasagar, M.1
-
20
-
-
0141850338
-
Threshold of disease transmission in a patch environment
-
Wang W., Mulone G. Threshold of disease transmission in a patch environment. J. Math. Anal. Appl. 2003, 285:321.
-
(2003)
J. Math. Anal. Appl.
, vol.285
, pp. 321
-
-
Wang, W.1
Mulone, G.2
-
21
-
-
2542463400
-
An epidemic model in a patchy environment
-
Wang W., Zhao X.-Q. An epidemic model in a patchy environment. Math. Biosci. 2004, 190:97.
-
(2004)
Math. Biosci.
, vol.190
, pp. 97
-
-
Wang, W.1
Zhao, X.-Q.2
-
22
-
-
0000313693
-
Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications
-
Zhao X.-Q. Uniform persistence and periodic coexistence states in infinite-dimensional periodic semiflows with applications. Can. Appl. Math. Quart. 1995, 3:473.
-
(1995)
Can. Appl. Math. Quart.
, vol.3
, pp. 473
-
-
Zhao, X.-Q.1
-
23
-
-
0013174737
-
Global asymptotic behavior in some cooperative systems of functional differential equations
-
Zhao X.-Q., Jing Z.-J. Global asymptotic behavior in some cooperative systems of functional differential equations. Can. Appl. Math. Quart. 1996, 4:421.
-
(1996)
Can. Appl. Math. Quart.
, vol.4
, pp. 421
-
-
Zhao, X.-Q.1
Jing, Z.-J.2
-
25
-
-
0004051023
-
-
AMS, Providence, RI
-
Zhang Z., Ding T., Huang W., Dong Z. Qualitative Theory of Differential Equations 1992, vol. 101. AMS, Providence, RI.
-
(1992)
Qualitative Theory of Differential Equations
, vol.101
-
-
Zhang, Z.1
Ding, T.2
Huang, W.3
Dong, Z.4
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