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Volumn 345, Issue 1, 2008, Pages 276-285

Bifurcation analysis in an approachable haematopoietic stem cells model

Author keywords

Cells model; Delay; Hopf bifurcation; Stability

Indexed keywords


EID: 43949124448     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2008.04.014     Document Type: Article
Times cited : (10)

References (19)
  • 1
    • 33750733928 scopus 로고    scopus 로고
    • Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases
    • Adimy M., Crauste F., and Ruan S. Modelling hematopoiesis mediated by growth factors with applications to periodic hematological diseases. Bull. Math. Biol. 68 (2006) 2321-2351
    • (2006) Bull. Math. Biol. , vol.68 , pp. 2321-2351
    • Adimy, M.1    Crauste, F.2    Ruan, S.3
  • 2
    • 0025132577 scopus 로고
    • 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
  • 3
    • 0001687872 scopus 로고
    • Analysis of a model representing stage-structured population growth with state-dependent time delay
    • Aiello W.G., Freedman H.I., and Wu J. Analysis of a model representing stage-structured population growth with state-dependent time delay. SIAM J. Appl. Math. 52 (1992) 855-869
    • (1992) SIAM J. Appl. Math. , vol.52 , pp. 855-869
    • Aiello, W.G.1    Freedman, H.I.2    Wu, J.3
  • 4
    • 33947590972 scopus 로고    scopus 로고
    • Stability and Hopf bifurcation in an approachable haematopoietic stem model
    • Alaoui H.T., and Yafia R. Stability and Hopf bifurcation in an approachable haematopoietic stem model. Math. Biosci. 206 2 (2007) 176-184
    • (2007) Math. Biosci. , vol.206 , Issue.2 , pp. 176-184
    • Alaoui, H.T.1    Yafia, R.2
  • 5
    • 0035819775 scopus 로고    scopus 로고
    • Resonance in periodic chemotherapy: A case study of acute myelogenous leukemia
    • Andersen L.K., and Mackey M.C. Resonance in periodic chemotherapy: A case study of acute myelogenous leukemia. J. Theoret. Biol. 209 (2001) 113-130
    • (2001) J. Theoret. Biol. , vol.209 , pp. 113-130
    • Andersen, L.K.1    Mackey, M.C.2
  • 6
    • 0036373967 scopus 로고    scopus 로고
    • Geometric stability switch criteria in delay differential systems with delay dependent parameters
    • Beretta E., and Kuang Y. Geometric stability switch criteria in delay differential systems with delay dependent parameters. SIAM J. Math. Anal. 33 (2002) 1144-1165
    • (2002) SIAM J. Math. Anal. , vol.33 , pp. 1144-1165
    • Beretta, E.1    Kuang, Y.2
  • 7
    • 0033209987 scopus 로고    scopus 로고
    • Interaction of maturation delay and nonlinear birth in population and epidemic models
    • Cooke K., van den Driessche P., and Zou X. Interaction of maturation delay and nonlinear birth in population and epidemic models. J. Math. Biol. 39 (1999) 332-352
    • (1999) J. Math. Biol. , vol.39 , pp. 332-352
    • Cooke, K.1    van den Driessche, P.2    Zou, X.3
  • 8
    • 33846872308 scopus 로고    scopus 로고
    • Global asymptotic stability and Hopf bifurcation for a blood cell production model
    • Crauste F. Global asymptotic stability and Hopf bifurcation for a blood cell production model. Math. Biosci. Eng. 3 2 (2006) 325-346
    • (2006) Math. Biosci. Eng. , vol.3 , Issue.2 , pp. 325-346
    • Crauste, F.1
  • 11
    • 0036659991 scopus 로고    scopus 로고
    • Asymptotic behaviors of competitive Lotka-Volterra system with stage structure
    • Liu S., Chen L., Luo G., and Jiang Y. Asymptotic behaviors of competitive Lotka-Volterra system with stage structure. J. Math. Anal. Appl. 271 (2002) 124-138
    • (2002) J. Math. Anal. Appl. , vol.271 , pp. 124-138
    • Liu, S.1    Chen, L.2    Luo, G.3    Jiang, Y.4
  • 12
    • 0018138249 scopus 로고
    • Unified hypothesis of the origin of aplastic anaemia and periodic hematopoiesis
    • Mackey M.C. Unified hypothesis of the origin of aplastic anaemia and periodic hematopoiesis. Blood 51 (1978) 941-956
    • (1978) Blood , vol.51 , pp. 941-956
    • Mackey, M.C.1
  • 13
    • 1842426546 scopus 로고    scopus 로고
    • Contribution to the study of periodic chronic myelogenous leukemia
    • Pujo-Menjouet L., and Mackey M.C. Contribution to the study of periodic chronic myelogenous leukemia. C. R. Biol. 327 (2004) 235-244
    • (2004) C. R. Biol. , vol.327 , pp. 235-244
    • Pujo-Menjouet, L.1    Mackey, M.C.2
  • 14
    • 34248370155 scopus 로고    scopus 로고
    • Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure
    • Qu Y., and Wei J. Bifurcation analysis in a time-delay model for prey-predator growth with stage-structure. Nonlinear Dynam. 49 (2007) 285-294
    • (2007) Nonlinear Dynam. , vol.49 , pp. 285-294
    • Qu, Y.1    Wei, J.2
  • 15
    • 1842465386 scopus 로고    scopus 로고
    • On the zeros of transcendental functions with applications to stability of delay differential equations with two delays
    • Ruan S., and Wei J. On the zeros of transcendental functions with applications to stability of delay differential equations with two delays. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 10 (2003) 863-874
    • (2003) Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. , vol.10 , pp. 863-874
    • Ruan, S.1    Wei, J.2
  • 16
    • 33745808518 scopus 로고    scopus 로고
    • A time-delay model for prey-predator growth with stage structcure
    • Satio Y., and Takeuchi Y. A time-delay model for prey-predator growth with stage structcure. Can. Appl. Math. Q. 11 (2003) 293-302
    • (2003) Can. Appl. Math. Q. , vol.11 , pp. 293-302
    • Satio, Y.1    Takeuchi, Y.2
  • 17
    • 0035051672 scopus 로고    scopus 로고
    • 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
  • 18
    • 12244312783 scopus 로고    scopus 로고
    • Hopf bifurcation analysis in a delayed Nicholson blowflies equation
    • Wei J., and Li M.Y. Hopf bifurcation analysis in a delayed Nicholson blowflies equation. Nonlinear Anal. 60 (2005) 1351-1367
    • (2005) Nonlinear Anal. , vol.60 , pp. 1351-1367
    • Wei, J.1    Li, M.Y.2
  • 19
    • 33746834593 scopus 로고    scopus 로고
    • Bifurcation analysis of a population model and the resulting SIS epidemic model with delay
    • Wei J., and Zou X. Bifurcation analysis of a population model and the resulting SIS epidemic model with delay. J. Comput. Appl. Math. 197 (2006) 169-187
    • (2006) J. Comput. Appl. Math. , vol.197 , pp. 169-187
    • Wei, J.1    Zou, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.