-
1
-
-
0017226769
-
A deterministic model for gonorrhea in a nonhomogeneous population
-
Lajmanovich A., Yorke J.A. A deterministic model for gonorrhea in a nonhomogeneous population. Math Biosci 1976, 28:221-236.
-
(1976)
Math Biosci
, vol.28
, pp. 221-236
-
-
Lajmanovich, A.1
Yorke, J.A.2
-
2
-
-
0021984692
-
Stability of the endemic equilibrium in epidemic models with subpopulations
-
Hethcote H.W., Thieme H.R. Stability of the endemic equilibrium in epidemic models with subpopulations. Math Biosci 1985, 75:205-227.
-
(1985)
Math Biosci
, vol.75
, pp. 205-227
-
-
Hethcote, H.W.1
Thieme, H.R.2
-
3
-
-
12844261174
-
Global stability results for a multigroup SIR epidemic model
-
World Scientific, Teaneck, NJ, T.G. Hallam, L.J. Gross, S.A. Levin (Eds.)
-
Beretta E., Capasso V. Global stability results for a multigroup SIR epidemic model. Mathematical ecology 1988, 317-342. World Scientific, Teaneck, NJ. T.G. Hallam, L.J. Gross, S.A. Levin (Eds.).
-
(1988)
Mathematical ecology
, pp. 317-342
-
-
Beretta, E.1
Capasso, V.2
-
4
-
-
0000723140
-
Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission
-
Huang W., Cooke K.L., Castillo-Chavez C. Stability and bifurcation for a multiple-group model for the dynamics of HIV/AIDS transmission. SIAM J Appl Math 1992, 52:835-854.
-
(1992)
SIAM J Appl Math
, vol.52
, pp. 835-854
-
-
Huang, W.1
Cooke, K.L.2
Castillo-Chavez, C.3
-
6
-
-
38049037455
-
Global stability of the endemic equilibrium of multigroup SIR epidemic models
-
Guo H., Li M.Y., Shuai Z. Global stability of the endemic equilibrium of multigroup SIR epidemic models. Can Appl Math Q 2006, 14:259-284.
-
(2006)
Can Appl Math Q
, vol.14
, pp. 259-284
-
-
Guo, H.1
Li, M.Y.2
Shuai, Z.3
-
7
-
-
70349388314
-
A graph-theoretic approach to the method of global Lyapunov functions
-
Guo H., Li M.Y., Shuai Z. A graph-theoretic approach to the method of global Lyapunov functions. Proc Amer Math Soc 2008, 136:2793-2802.
-
(2008)
Proc Amer Math Soc
, vol.136
, pp. 2793-2802
-
-
Guo, H.1
Li, M.Y.2
Shuai, Z.3
-
8
-
-
70349785039
-
Global-stability problem for coupled systems of differential equations on networks
-
Li M.Y., Shuai Z. Global-stability problem for coupled systems of differential equations on networks. J Differ Equ 2010, 248:1-20.
-
(2010)
J Differ Equ
, vol.248
, pp. 1-20
-
-
Li, M.Y.1
Shuai, Z.2
-
9
-
-
70349384940
-
Global stability of multi-group epidemic models with distributed delays
-
Li M.Y., Shuai Z., Wang C. Global stability of multi-group epidemic models with distributed delays. J Math Anal Appl 2010, 361:38-47.
-
(2010)
J Math Anal Appl
, vol.361
, pp. 38-47
-
-
Li, M.Y.1
Shuai, Z.2
Wang, C.3
-
10
-
-
0031997110
-
Stability of epidemic model with time delays influenced by stochastic perturbations
-
Beretta E., Kolmanovskii V., Shaikhet L. Stability of epidemic model with time delays influenced by stochastic perturbations. Math Comput Simul 1998, 45:269-277.
-
(1998)
Math Comput Simul
, vol.45
, pp. 269-277
-
-
Beretta, E.1
Kolmanovskii, V.2
Shaikhet, L.3
-
11
-
-
0036176248
-
On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment
-
Carletti M. On the stability properties of a stochastic model for phage-bacteria interaction in open marine environment. Math Biosci 2002, 175:117-131.
-
(2002)
Math Biosci
, vol.175
, pp. 117-131
-
-
Carletti, M.1
-
14
-
-
38949193330
-
A stochastic model for internal HIV dynamics
-
Dalal N., Greenhalgh D., Mao X.R. A stochastic model for internal HIV dynamics. J Math Anal Appl 2008, 341:1084-1101.
-
(2008)
J Math Anal Appl
, vol.341
, pp. 1084-1101
-
-
Dalal, N.1
Greenhalgh, D.2
Mao, X.R.3
-
15
-
-
68049121846
-
Global stability of two-group SIR model with random perturbation
-
Yu J., Jiang D., Shi N. Global stability of two-group SIR model with random perturbation. J Math Anal Appl 2009, 360:235-244.
-
(2009)
J Math Anal Appl
, vol.360
, pp. 235-244
-
-
Yu, J.1
Jiang, D.2
Shi, N.3
-
16
-
-
67649440965
-
Stability of SIRS system with random perturbations
-
Lu Q. Stability of SIRS system with random perturbations. Phys A 2009, 388:3677-3686.
-
(2009)
Phys A
, vol.388
, pp. 3677-3686
-
-
Lu, Q.1
-
17
-
-
67649118104
-
Stability of stochastic delayed SIR model
-
Chen G., Li T.C. Stability of stochastic delayed SIR model. Stochastics Dyn 2009, 9:231-252.
-
(2009)
Stochastics Dyn
, vol.9
, pp. 231-252
-
-
Chen, G.1
Li, T.C.2
-
18
-
-
77955268021
-
The long time behavior of DI SIR epidemic model with stochastic perturbation
-
Jiang D., Ji C., Shi N., Yu J. The long time behavior of DI SIR epidemic model with stochastic perturbation. J Math Anal Appl 2010, 372:162-180.
-
(2010)
J Math Anal Appl
, vol.372
, pp. 162-180
-
-
Jiang, D.1
Ji, C.2
Shi, N.3
Yu, J.4
-
19
-
-
77955662616
-
Stability of a novel stochastic epidemic model with double epidemic hypothesis
-
Meng X. Stability of a novel stochastic epidemic model with double epidemic hypothesis. Appl Math Comput 2010, 217:506-515.
-
(2010)
Appl Math Comput
, vol.217
, pp. 506-515
-
-
Meng, X.1
-
20
-
-
79952616171
-
Multigroup SIR epidemic model with stochastic perturbation
-
Ji C., Jiang D., Shi N. Multigroup SIR epidemic model with stochastic perturbation. Phys A 2011, 390:1747-1762.
-
(2011)
Phys A
, vol.390
, pp. 1747-1762
-
-
Ji, C.1
Jiang, D.2
Shi, N.3
-
21
-
-
33947105991
-
The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay
-
Wei F., Wang K. The existence and uniqueness of the solution for stochastic functional differential equations with infinite delay. J Math Anal Appl 2007, 331:516-531.
-
(2007)
J Math Anal Appl
, vol.331
, pp. 516-531
-
-
Wei, F.1
Wang, K.2
-
24
-
-
0035439412
-
An algorithmic introduction to numerical simulation of stochastic differential equations
-
Higham D. An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev 2001, 43:525-546.
-
(2001)
SIAM Rev
, vol.43
, pp. 525-546
-
-
Higham, D.1
-
25
-
-
84875375826
-
Analysis of a stochastic autonomous mutualism model
-
Liu M., Wang K. Analysis of a stochastic autonomous mutualism model. J Math Anal Appl 2013, 402:392-403.
-
(2013)
J Math Anal Appl
, vol.402
, pp. 392-403
-
-
Liu, M.1
Wang, K.2
-
26
-
-
84875736026
-
Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps
-
Liu M., Wang K. Dynamics of a Leslie-Gower Holling-type II predator-prey system with Lévy jumps. Nonlinear Anal 2013, 85:204-213.
-
(2013)
Nonlinear Anal
, vol.85
, pp. 204-213
-
-
Liu, M.1
Wang, K.2
-
27
-
-
84885291979
-
Stochastic Lotka-Volterra systems with Lévy noise
-
Liu M., Wang K. Stochastic Lotka-Volterra systems with Lévy noise. J Math Anal Appl 2014, 410:750-763.
-
(2014)
J Math Anal Appl
, vol.410
, pp. 750-763
-
-
Liu, M.1
Wang, K.2
|