-
1
-
-
38049037455
-
Global stability of the endemic equilibrium of multigroup SIR epidemic models
-
Guo H.B., Li M.Y., and Shuai Z. Global stability of the endemic equilibrium of multigroup SIR epidemic models. Can. Appl. Math. Q. 14 (2006) 259-284
-
(2006)
Can. Appl. Math. Q.
, vol.14
, pp. 259-284
-
-
Guo, H.B.1
Li, M.Y.2
Shuai, Z.3
-
2
-
-
0000998185
-
Contributions to the mathematical theory of epidemics (Part I)
-
Kermack W.O., and McKendrick A.G. Contributions to the mathematical theory of epidemics (Part I). Proc. R. Sm. A 115 (1927) 700-721
-
(1927)
Proc. R. Sm. A
, vol.115
, pp. 700-721
-
-
Kermack, W.O.1
McKendrick, A.G.2
-
3
-
-
39449119838
-
The dynamics of a new SIR epidemic model concerning pulse vaccination strategy
-
Meng X.Z., and Chen L.S. The dynamics of a new SIR epidemic model concerning pulse vaccination strategy. Appl. Math. Comput. 197 (2008) 528-597
-
(2008)
Appl. Math. Comput.
, vol.197
, pp. 528-597
-
-
Meng, X.Z.1
Chen, L.S.2
-
4
-
-
41949125685
-
Global stability of an SIR epidemic model with constant infectious period
-
Zhang F.P., Li Z.Z., and Zhang F. Global stability of an SIR epidemic model with constant infectious period. Appl. Math. Comput. 199 (2008) 285-291
-
(2008)
Appl. Math. Comput.
, vol.199
, pp. 285-291
-
-
Zhang, F.P.1
Li, Z.Z.2
Zhang, F.3
-
5
-
-
34248562938
-
The final size of a SARS epidemic model without quarantine
-
Hsu S.-B., and Roeger L.-I.W. The final size of a SARS epidemic model without quarantine. J. Math. Anal. Appl. 333 (2007) 557-566
-
(2007)
J. Math. Anal. Appl.
, vol.333
, pp. 557-566
-
-
Hsu, S.-B.1
Roeger, L.-I.W.2
-
6
-
-
33947212532
-
A SIRS epidemic model with infection-age dependence
-
Zhang Z.H., and Peng J.G. A SIRS epidemic model with infection-age dependence. J. Math. Anal. Appl. 331 (2007) 1396-1414
-
(2007)
J. Math. Anal. Appl.
, vol.331
, pp. 1396-1414
-
-
Zhang, Z.H.1
Peng, J.G.2
-
7
-
-
40649091581
-
An epidemic model of a vector-borne disease with direct transmission and time delay
-
Wei H.M., Li X.Z., and Martcheva M. An epidemic model of a vector-borne disease with direct transmission and time delay. J. Math. Anal. Appl. 342 (2008) 895-908
-
(2008)
J. Math. Anal. Appl.
, vol.342
, pp. 895-908
-
-
Wei, H.M.1
Li, X.Z.2
Martcheva, M.3
-
8
-
-
41149168534
-
Effects of predation on host-pathogen dynamics in SIR models
-
Roy M., and Holt R.D. Effects of predation on host-pathogen dynamics in SIR models. Theor. Popul. Biol. 73 (2008) 319-331
-
(2008)
Theor. Popul. Biol.
, vol.73
, pp. 319-331
-
-
Roy, M.1
Holt, R.D.2
-
10
-
-
54049119675
-
Permanence and extinction for a nonautonomous SIRS epidemic model with time delay
-
Zhang T.L., and Teng Z.D. Permanence and extinction for a nonautonomous SIRS epidemic model with time delay. Appl. Math. Model. 33 (2009) 1058-1071
-
(2009)
Appl. Math. Model.
, vol.33
, pp. 1058-1071
-
-
Zhang, T.L.1
Teng, Z.D.2
-
11
-
-
0035425156
-
Global asymptotic stability of an SIR epidemic model with distributed time delay
-
Beretta E., Hara T., Ma W., and Takeuchi Y. 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
-
12
-
-
0017226769
-
A deterministic model for gonorrhea in a nonhomogeneous population
-
Lajmanovich A., and York J.A. A deterministic model for gonorrhea in a nonhomogeneous population. Math. Biosci. 28 (1976) 221-236
-
(1976)
Math. Biosci.
, vol.28
, pp. 221-236
-
-
Lajmanovich, A.1
York, J.A.2
-
13
-
-
12844261174
-
Global stability results for a multigroup SIR epidemic model
-
Hallam T.G., Gross L.J., and Levin S.A. (Eds), World Scientific, Singapore
-
Beretta E., and Capasso V. Global stability results for a multigroup SIR epidemic model. In: Hallam T.G., Gross L.J., and Levin S.A. (Eds). Mathematical Ecology (1986), World Scientific, Singapore 317-342
-
(1986)
Mathematical Ecology
, pp. 317-342
-
-
Beretta, E.1
Capasso, V.2
-
14
-
-
0018247773
-
An immunization model for a heterogeneous population
-
Hethcote H.W. An immunization model for a heterogeneous population. Theor. Popul. Biol. 14 (1978) 338-349
-
(1978)
Theor. Popul. Biol.
, vol.14
, pp. 338-349
-
-
Hethcote, H.W.1
-
15
-
-
34547944985
-
Global asymptotic convergence results for multitype models
-
Rass L., and Radcliffe J. Global asymptotic convergence results for multitype models. Int. J. Appl. Math. Comput. Sci. 10 (2000) 63-79
-
(2000)
Int. J. Appl. Math. Comput. Sci.
, vol.10
, pp. 63-79
-
-
Rass, L.1
Radcliffe, J.2
-
16
-
-
0008940705
-
Sex ratio features of two-group SIR model for asymmetric transmission of heterosexual disease
-
Koide C., and Seno H. Sex ratio features of two-group SIR model for asymmetric transmission of heterosexual disease. Math. Comput. Model. 23 (1996) 67-91
-
(1996)
Math. Comput. Model.
, vol.23
, pp. 67-91
-
-
Koide, C.1
Seno, H.2
-
17
-
-
0242676984
-
Asymptotic behaviour of the stochastic Lotka-Volterra model
-
Mao X., Marion G., and Renshaw E. Asymptotic behaviour of the stochastic Lotka-Volterra model. J. Math. Anal. Appl. 287 (2003) 141-156
-
(2003)
J. Math. Anal. Appl.
, vol.287
, pp. 141-156
-
-
Mao, X.1
Marion, G.2
Renshaw, E.3
-
18
-
-
0242563961
-
Environmental noise suppresses explosion in population dynamics
-
Mao X., Marion G., and Renshaw E. Environmental noise suppresses explosion in population dynamics. Stochastic Process. Appl. 97 (2002) 95-110
-
(2002)
Stochastic Process. Appl.
, vol.97
, pp. 95-110
-
-
Mao, X.1
Marion, G.2
Renshaw, E.3
-
20
-
-
0018662325
-
The influence of external real and white noise on the Lotka-Volterra model
-
Arnolld L., Horsthemke W., and Stuxki J.W. The influence of external real and white noise on the Lotka-Volterra model. Biomed. J. 21 (1976) 451-471
-
(1976)
Biomed. J.
, vol.21
, pp. 451-471
-
-
Arnolld, L.1
Horsthemke, W.2
Stuxki, J.W.3
-
21
-
-
0035413567
-
Long term behavior of solution of the Lotka-Volterra system under small random perturbations
-
Khasminskii R.Z., and Klerbaner F.C. Long term behavior of solution of the Lotka-Volterra system under small random perturbations. Ann. Appl. Probab. 11 (2001) 952-963
-
(2001)
Ann. Appl. Probab.
, vol.11
, pp. 952-963
-
-
Khasminskii, R.Z.1
Klerbaner, F.C.2
-
22
-
-
1942508139
-
Stochastic delay Lotka-Volterra model
-
Bahar A., and Mao X. Stochastic delay Lotka-Volterra model. J. Math. Anal. Appl. 292 (2004) 364-380
-
(2004)
J. Math. Anal. Appl.
, vol.292
, pp. 364-380
-
-
Bahar, A.1
Mao, X.2
-
23
-
-
12744262698
-
A note on nonautonomous Logistic equation with random perturbation
-
Jiang D.Q., and Shi N.Z. A note on nonautonomous Logistic equation with random perturbation. J. Math. Anal. Appl. 303 (2005) 164-172
-
(2005)
J. Math. Anal. Appl.
, vol.303
, pp. 164-172
-
-
Jiang, D.Q.1
Shi, N.Z.2
-
24
-
-
12744262698
-
Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation
-
Jiang D.Q., Shi N.Z., and Li X.Y. Global stability and stochastic permanence of a non-autonomous logistic equation with random perturbation. J. Math. Anal. Appl. 303 (2008) 164-172
-
(2008)
J. Math. Anal. Appl.
, vol.303
, pp. 164-172
-
-
Jiang, D.Q.1
Shi, N.Z.2
Li, X.Y.3
-
25
-
-
4344689629
-
Persistence in stochastic food web models
-
Gard T.C. Persistence in stochastic food web models. Bull. Math. Biol. 46 (1984) 357-370
-
(1984)
Bull. Math. Biol.
, vol.46
, pp. 357-370
-
-
Gard, T.C.1
-
26
-
-
24644508416
-
Exclusion and persistence in deterministic and stochastic chemostat models
-
Imhof L., and Walcher S. Exclusion and persistence in deterministic and stochastic chemostat models. J. Differential Equations 217 (2005) 26-53
-
(2005)
J. Differential Equations
, vol.217
, pp. 26-53
-
-
Imhof, L.1
Walcher, S.2
-
29
-
-
19944381861
-
Stability of a stochastic SIR system
-
Tornatore E., Buccellato S.M., and Vetro P. Stability of a stochastic SIR system. Phys. A 354 (2005) 111-126
-
(2005)
Phys. A
, vol.354
, pp. 111-126
-
-
Tornatore, E.1
Buccellato, S.M.2
Vetro, P.3
-
30
-
-
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. 175 (2002) 117-131
-
(2002)
Math. Biosci.
, vol.175
, pp. 117-131
-
-
Carletti, M.1
-
31
-
-
0031997110
-
Stability of epidemic model with time delays influenced by stochastic perturbations
-
Beretta E., Kolmanovskii V., and Shaikhet L. Stability of epidemic model with time delays influenced by stochastic perturbations. Math. Comput. Simulation 45 (1998) 269-277
-
(1998)
Math. Comput. Simulation
, vol.45
, pp. 269-277
-
-
Beretta, E.1
Kolmanovskii, V.2
Shaikhet, L.3
|