-
1
-
-
1042298863
-
Global results for an epidemic model with vaccination that exhibits backward bifurcation
-
J. ARINO, C. C. Mccluskey, and P. Van den Driessche, Global results for an epidemic model with vaccination that exhibits backward bifurcation, SIAM J. Appl. Math., 64 (2003), pp. 260-276.
-
(2003)
SIAM J. Appl. Math
, vol.64
, pp. 260-276
-
-
ARINO, J.1
Mccluskey, C.C.2
Van den Driessche, P.3
-
2
-
-
0036130937
-
Global dynamics of an epidemic model with time delay, Nonlinear Anal
-
W. D. WANG and Z. Ma, Global dynamics of an epidemic model with time delay, Nonlinear Anal. Real World Application, 3 (2002), pp. 365-373.
-
(2002)
Real World Application
, vol.3
, pp. 365-373
-
-
WANG, W.D.1
Ma, Z.2
-
3
-
-
2542463400
-
An epidemic model in a patchy environment
-
W. D. WANG and X. Q. Zhao, An epidemic model in a patchy environment, Math. Biosci., 190 (2004), pp. 97-112.
-
(2004)
Math. Biosci
, vol.190
, pp. 97-112
-
-
WANG, W.D.1
Zhao, X.Q.2
-
4
-
-
3242806195
-
-
CENTERS FOR DISEASE CONTROL AND PREVENTION
-
CENTERS FOR DISEASE CONTROL AND PREVENTION, West Nile Virus: Fact Sheet, http://www. cdc.gov/ncidod/dvbid/westnile/wnv factSheet.htm.
-
West Nile Virus: Fact Sheet
-
-
-
6
-
-
0035789896
-
Simulation studies of St. Louis encephalitis and West Nile viruses: The impact of bird mortality
-
C. C. LORD and J. F. DAY, Simulation studies of St. Louis encephalitis and West Nile viruses: The impact of bird mortality, Vector Borne and Zoonotic Diseases, 1 (2001), pp. 317-329.
-
(2001)
Vector Borne and Zoonotic Diseases
, vol.1
, pp. 317-329
-
-
LORD, C.C.1
DAY, J.F.2
-
7
-
-
0034817375
-
A model describing the evolution of West Nile-like encephalitis in New York City
-
D. M. THOMAS and B. URENA, A model describing the evolution of West Nile-like encephalitis in New York City, Math. Comput. Modelling, 34 (2001), pp. 771-781.
-
(2001)
Math. Comput. Modelling
, vol.34
, pp. 771-781
-
-
THOMAS, D.M.1
URENA, B.2
-
8
-
-
1442308380
-
An epidemiological model for West Nile virus: Invasion analysis and control applications
-
M. J. WONHAM, T. DE-CAMINO-BECK, and M. LEWIS, An epidemiological model for West Nile virus: Invasion analysis and control applications, Proc. R. Soc. Lond. Ser. B, 1538 (2004), pp. 501-507.
-
(2004)
Proc. R. Soc. Lond. Ser. B
, vol.1538
, pp. 501-507
-
-
WONHAM, M.J.1
DE-CAMINO-BECK, T.2
LEWIS, M.3
-
9
-
-
26844431555
-
A theoretical framework for the analysis of the West Nile virus epidemic
-
V. M. KENKRE, R. R. PARMENTER, I. D. PEIXOTO, and L. SADASIV, A theoretical framework for the analysis of the West Nile virus epidemic, Math. Comput. Modelling, 42 (2005), pp. 313-324.
-
(2005)
Math. Comput. Modelling
, vol.42
, pp. 313-324
-
-
KENKRE, V.M.1
PARMENTER, R.R.2
PEIXOTO, I.D.3
SADASIV, L.4
-
10
-
-
33745451069
-
Modeling spatial spread of West Nile virus and impact of directional dispersal of birds
-
R. S. LIU, J. P. SHUAI, J. WU, and H. Zhu, Modeling spatial spread of West Nile virus and impact of directional dispersal of birds, Math. Biosci. Eng., 3 (2006), pp. 145-160.
-
(2006)
Math. Biosci. Eng
, vol.3
, pp. 145-160
-
-
LIU, R.S.1
SHUAI, J.P.2
WU, J.3
Zhu, H.4
-
11
-
-
21444451814
-
-
C. BOWMAN, A. B. GUMEL, J. WU, P. VAN DEN DRIESSCHE, AND H. ZHU, A mathematical model for assessing control strategies against West Nile virus, Bull. Math. Biol., 67 (2005), pp. 1107-1133.
-
C. BOWMAN, A. B. GUMEL, J. WU, P. VAN DEN DRIESSCHE, AND H. ZHU, A mathematical model for assessing control strategies against West Nile virus, Bull. Math. Biol., 67 (2005), pp. 1107-1133.
-
-
-
-
12
-
-
62149101085
-
Threshold conditions for West Nile virus outbreaks
-
DOI 10.1007/s11538-008-9374-6
-
J. F. JIANG, Z. P. QIU, J.WU, AND H. ZHU, Threshold conditions for West Nile virus outbreaks, Bull. Math. Biol., 2008, DOI 10.1007/s11538-008-9374-6.
-
(2008)
Bull. Math. Biol
-
-
JIANG, J.F.1
QIU, Z.P.2
WU, J.3
ZHU, H.4
-
13
-
-
84959812821
-
On the global stability of cooperative systems
-
J. F. JIANG, On the global stability of cooperative systems, Bull. London Math. Soc., 6 (1994), pp. 455-458.
-
(1994)
Bull. London Math. Soc
, vol.6
, pp. 455-458
-
-
JIANG, J.F.1
-
14
-
-
0030128038
-
Competitive exclusion in gonorrhea models and other sexually transmitted diseases
-
C. CASTILLO-CHAVEZ, W. HUANG, AND J. LI, Competitive exclusion in gonorrhea models and other sexually transmitted diseases, SIAM J. Appl. Math., 56 (1996), pp. 494-508.
-
(1996)
SIAM J. Appl. Math
, vol.56
, pp. 494-508
-
-
CASTILLO-CHAVEZ, C.1
HUANG, W.2
LI, J.3
-
15
-
-
62249104975
-
-
C. CASTILLO-CHAVEZ AND H. R. THIEME, Asymptotically autonomous epidemic models, in Mathematical Population Dynamics: Analysis of Heterogeneity, 1, O. Arino, D. Axelrod, M. Kimmel, M. Langlais, eds., Wuerz, Winnipeg, 1995, pp. 33-50.
-
C. CASTILLO-CHAVEZ AND H. R. THIEME, Asymptotically autonomous epidemic models, in Mathematical Population Dynamics: Analysis of Heterogeneity, Vol. 1, O. Arino, D. Axelrod, M. Kimmel, M. Langlais, eds., Wuerz, Winnipeg, 1995, pp. 33-50.
-
-
-
-
16
-
-
77952672921
-
Convergence results and a Poincar'e-Bendixson trichotomy for asymptotically autonomous differential equations
-
H. R. THIEME, Convergence results and a Poincar'e-Bendixson trichotomy for asymptotically autonomous differential equations, J. Math. Biol., 30 (1992), pp. 755-763.
-
(1992)
J. Math. Biol
, vol.30
, pp. 755-763
-
-
THIEME, H.R.1
-
17
-
-
84881166951
-
Asymptotically autonomous differential equations in the plane
-
H. R. THIEME, Asymptotically autonomous differential equations in the plane, Rocky Mountain J. Math., 24 (1994), pp. 351-380.
-
(1994)
Rocky Mountain J. Math
, vol.24
, pp. 351-380
-
-
THIEME, H.R.1
-
18
-
-
0036845274
-
-
P. VAN DEN DRIESSCHE AND J. WATMOUGH, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), pp. 29-48.
-
P. VAN DEN DRIESSCHE AND J. WATMOUGH, Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission, Math. Biosci., 180 (2002), pp. 29-48.
-
-
-
-
19
-
-
35348982202
-
Monotone Dynamical Systems: An Introduction to Theory of Competitive and Cooperative Systems, Math
-
AMS, Providence, RI
-
H. L. SMITH, Monotone Dynamical Systems: An Introduction to Theory of Competitive and Cooperative Systems, Math. Surveys Monogr. 41, AMS, Providence, RI, 1995.
-
(1995)
Surveys Monogr
, vol.41
-
-
SMITH, H.L.1
-
20
-
-
0035506703
-
The general properties of discrete time competitive dynamical systems
-
Y. WANG AND J. F. JIANG, The general properties of discrete time competitive dynamical systems, J. Differential Equations, 176 (2001), pp. 470-493.
-
(2001)
J. Differential Equations
, vol.176
, pp. 470-493
-
-
WANG, Y.1
JIANG, J.F.2
-
21
-
-
4243550804
-
Domains of attraction of generic ω-limit sets for strongly monotone discrete-time semigroups
-
P. TAKAC, Domains of attraction of generic ω-limit sets for strongly monotone discrete-time semigroups, J. Reine Angew. Math., 423 (1992), pp. 101-173.
-
(1992)
J. Reine Angew. Math
, vol.423
, pp. 101-173
-
-
TAKAC, P.1
-
22
-
-
0011409551
-
On derivations arising in differential equations
-
D. LONDON, On derivations arising in differential equations, Linear Multilinear Algebra, 4 (1976), pp. 179-189.
-
(1976)
Linear Multilinear Algebra
, vol.4
, pp. 179-189
-
-
LONDON, D.1
-
23
-
-
84880990802
-
Compound matrices and ordinary differential equation
-
J. S. MULDOWNEY, Compound matrices and ordinary differential equation, Rocky Mountain J. Math., 20 (1990), pp. 857-872.
-
(1990)
Rocky Mountain J. Math
, vol.20
, pp. 857-872
-
-
MULDOWNEY, J.S.1
-
24
-
-
0028817626
-
Global stability for the SEIR model in epidemiology
-
M. Y. LI AND J. S. MULDOWNEY, Global stability for the SEIR model in epidemiology, Math. Biosci., 125 (1995), pp. 155-164.
-
(1995)
Math. Biosci
, vol.125
, pp. 155-164
-
-
LI, M.Y.1
MULDOWNEY, J.S.2
-
25
-
-
0039591930
-
Persistence under relaxed point-dissipativity (with an application to an endemic model)
-
H. R. THIEME, Persistence under relaxed point-dissipativity (with an application to an endemic model), SIAM J. Math. Anal., 24 (1993), pp. 407-435.
-
(1993)
SIAM J. Math. Anal
, vol.24
, pp. 407-435
-
-
THIEME, H.R.1
-
27
-
-
0030544879
-
A geometric approach to global-stability problems
-
M. Y. LI AND J. MULDOWNEY, A geometric approach to global-stability problems, SIAM J. Math. Anal., 27 (1996), pp. 1070-1083.
-
(1996)
SIAM J. Math. Anal
, vol.27
, pp. 1070-1083
-
-
LI, M.Y.1
MULDOWNEY, J.2
-
28
-
-
0016027180
-
Logarithmic norms and projections applied to linear differential systems
-
R. H. MARTIN, JR., Logarithmic norms and projections applied to linear differential systems, J. Math. Anal. Appl., 45 (1974), pp. 432-454.
-
(1974)
J. Math. Anal. Appl
, vol.45
, pp. 432-454
-
-
MARTIN JR., R.H.1
-
29
-
-
0000875103
-
Dichotomies and asymptotic behavior for linear differential systems
-
J. S. MULDOWNEY, Dichotomies and asymptotic behavior for linear differential systems, Trans. Amer. Math. Soc., 283 (1984), pp. 465-484.
-
(1984)
Trans. Amer. Math. Soc
, vol.283
, pp. 465-484
-
-
MULDOWNEY, J.S.1
-
30
-
-
0000703838
-
Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions
-
K. MISCHAIKOW, H. SMITH, AND H. R. THIEME, Asymptotically autonomous semiflows: Chain recurrence and Lyapunov functions, Trans. Amer. Math. Soc., 347 (1995), pp. 1669-1685.
-
(1995)
Trans. Amer. Math. Soc
, vol.347
, pp. 1669-1685
-
-
MISCHAIKOW, K.1
SMITH, H.2
THIEME, H.R.3
|