SCOPUS 정보 검색 플랫폼

Volumn 193, Issue 1, 2007, Pages 106-115

Qualitative analysis of an SIR epidemic model with stage structure

Author keywords

Epidemic; Equilibrium; Liapunov functional persistence; SIR; Stage structure

Indexed keywords

DISEASE CONTROL; GLOBAL OPTIMIZATION; STABILITY CRITERIA;

GLOBAL DYNAMICS; GLOBAL STABILITY; LIAPUNOV FUNCTIONAL PERSISTENCE;

MATHEMATICAL MODELS;

EID: 35348842323 PISSN: 00963003 EISSN: None Source Type: Journal
DOI: 10.1016/j.amc.2007.03.041 Document Type: Article

Times cited : (10)

References (13)

1
- 0034976407
- Models for transmission of disease with immigration of infectives
- Brauer F., and ven den Driessche P. Models for transmission of disease with immigration of infectives. Math. Biosci. 171 (2001) 143-154
- (2001) Math. Biosci. , vol.171 , pp. 143-154
- Brauer, F.¹ ven den Driessche, P.²

2
- 2542463400
- An epidemic model in a patchy environment
- Wang W., and Zhao X. An epidemic model in a patchy environment. Math. Biosci. 190 (2004) 97-112
- (2004) Math. Biosci. , vol.190 , pp. 97-112
- Wang, W.¹ Zhao, X.²

3
- 3142613396
- Global analysis of some epidemic model with general contact rate and constant immigration
- Li J., and Ma Z. Global analysis of some epidemic model with general contact rate and constant immigration. Appl. Math. Mech. 4 (2004) 396-404
- (2004) Appl. Math. Mech. , vol.4 , pp. 396-404
- Li, J.¹ Ma, Z.²

4
- 0030318519
- Analysis of an SEIRS epidemic model with two delays
- Cooke K., and ven den Driessche P. Analysis of an SEIRS epidemic model with two delays. J. Math. Biol. 35 (1996) 240-260
- (1996) J. Math. Biol. , vol.35 , pp. 240-260
- Cooke, K.¹ ven den Driessche, P.²

5
- 0036130937
- Global dynamics of an epidemic model with time delay
- Wang W., and Ma Z. Global dynamics of an epidemic model with time delay. Nonlinear Anal. Real World Appl. 3 (2002) 365-373
- (2002) Nonlinear Anal. Real World Appl. , vol.3 , pp. 365-373
- Wang, W.¹ Ma, Z.²

6
- 1542406443
- Bifurcation in an epidemic model with constant removal rate of infective
- Wang W., and Ruan S. Bifurcation in an epidemic model with constant removal rate of infective. J. Math. Appl. 291 (2004) 775-793
- (2004) J. Math. Appl. , vol.291 , pp. 775-793
- Wang, W.¹ Ruan, S.²

7
- 0031124171
- A predator-prey system with stage-structure for predator
- Wang W., and Chen L. A predator-prey system with stage-structure for predator. Comput. Math. Appl. 33 (1997) 83-91
- (1997) Comput. Math. Appl. , vol.33 , pp. 83-91
- Wang, W.¹ Chen, L.²

8
- 0035051672
- Optimal harvesting and stability for a two species competitive system with stage-structure
- Song X., and Chen L. Optimal harvesting and stability for a two species competitive system with stage-structure. Math. Biosci. 170 (2001) 173-186
- (2001) Math. Biosci. , vol.170 , pp. 173-186
- Song, X.¹ Chen, L.²

9
- 18844445497
- On an SIS epidemic model with stage-structure
- Xiao Y., and Chen L. On an SIS epidemic model with stage-structure. J. Sys. Sci. Complexity 16 (2003) 275-288
- (2003) J. Sys. Sci. Complexity , vol.16 , pp. 275-288
- Xiao, Y.¹ Chen, L.²

10
- 0001773451
- Asymptotically autonomous epidemic models
- Costill-Chavez C., and Thieme H.R. Asymptotically autonomous epidemic models. Math. Popul. Dyn. (1995) 33
- (1995) Math. Popul. Dyn. , pp. 33
- Costill-Chavez, C.¹ Thieme, H.R.²

11
- 0004446608
- Uniform persistence in discrete semidynamical system and its application
- Wang W., and Ma Z. Uniform persistence in discrete semidynamical system and its application. Syst. Sci. Math. Sci. 8 (1995) 228-233
- (1995) Syst. Sci. Math. Sci. , vol.8 , pp. 228-233
- Wang, W.¹ Ma, Z.²

12
- 0003743176
- Academic Press, New YorK
- Kuang Y. Delay Differential Equations With Applications in Population Dynamics (1993), Academic Press, New YorK
- (1993) Delay Differential Equations With Applications in Population Dynamics
- Kuang, Y.¹

13
- 0025132577
- A time-delay model of single-species growth with stage structure
- Aiello W.G., and Freedman H.I. A time-delay model of single-species growth with stage structure. Math. Biosci. 101 (1990) 139-153
- (1990) Math. Biosci. , vol.101 , pp. 139-153
- Aiello, W.G.¹ Freedman, H.I.²

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.