메뉴 건너뛰기




Volumn 67, Issue 9, 2007, Pages 2699-2711

Dynamics for a type of general reaction-diffusion model

Author keywords

35B05; 35B40; Global attractivity; Oscillation; Reaction diffusion equation

Indexed keywords

GLOBAL ATTRACTIVITY; NEUMANN BOUNDARY CONDITIONS; REACTION DIFFUSION EQUATION; ZERO SOLUTION;

EID: 34447620113     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2006.09.034     Document Type: Article
Times cited : (39)

References (29)
  • 1
    • 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. Journal of Mathematical Biology 39 (1999) 332-352
    • (1999) Journal of Mathematical Biology , vol.39 , pp. 332-352
    • Cooke, K.1    van den Driessche, P.2    Zou, X.3
  • 2
    • 34147159139 scopus 로고
    • Asymptotic behavior of solution of some retarded differential equations
    • Ding T. Asymptotic behavior of solution of some retarded differential equations. Scientia Sinica (A) 25 4 (1982) 363-370
    • (1982) Scientia Sinica (A) , vol.25 , Issue.4 , pp. 363-370
    • Ding, T.1
  • 3
    • 34447646023 scopus 로고    scopus 로고
    • L.H. Erbe, Q. Kong, B.G. Zhang, Oscillation of partial differentail equations with deviating arguments, Utilitas Mathematica, 43 (193) 129-139
  • 11
    • 12944268244 scopus 로고    scopus 로고
    • Nonlinear delay differential equations involving population growth
    • Lenbury Y., and Giang D.V. Nonlinear delay differential equations involving population growth. Mathematical and Computer Modelling 40 (2004) 583-590
    • (2004) Mathematical and Computer Modelling , vol.40 , pp. 583-590
    • Lenbury, Y.1    Giang, D.V.2
  • 12
    • 2442502476 scopus 로고    scopus 로고
    • A global stability criterion for scalar functional differential equations
    • Liz E., Tkachenko V., and Trofimchuk S. A global stability criterion for scalar functional differential equations. SIAM Journal on Mathematical Analysis 35 3 (2003) 596-622
    • (2003) SIAM Journal on Mathematical Analysis , vol.35 , Issue.3 , pp. 596-622
    • Liz, E.1    Tkachenko, V.2    Trofimchuk, S.3
  • 13
    • 0017714604 scopus 로고
    • Oscillation and chaos in physiological control system
    • Mackey M.C., and Glass L. Oscillation and chaos in physiological control system. Science 197 (1977) 287-289
    • (1977) Science , vol.197 , pp. 287-289
    • Mackey, M.C.1    Glass, L.2
  • 14
    • 0003359061 scopus 로고
    • On Volterra's population equation with diffusion
    • Redlinger R. On Volterra's population equation with diffusion. SIAM Journal of Mathematical Analysis 16 (1985) 135-142
    • (1985) SIAM Journal of Mathematical Analysis , vol.16 , pp. 135-142
    • Redlinger, R.1
  • 16
    • 24944511236 scopus 로고    scopus 로고
    • Oscillation of continuous and discrete diffusive delay Nicholson's blowflies models
    • Saker S.H. Oscillation of continuous and discrete diffusive delay Nicholson's blowflies models. Applied Mathematics and Computation 167 (2005) 179-197
    • (2005) Applied Mathematics and Computation , vol.167 , pp. 179-197
    • Saker, S.H.1
  • 17
    • 0037195987 scopus 로고    scopus 로고
    • Oscillation in a discrete partial delay Nicholson's blowflies model
    • Saker S.H., and Zhang B.G. Oscillation in a discrete partial delay Nicholson's blowflies model. Mathematical and Computer Modelling 36 (2002) 1021-1026
    • (2002) Mathematical and Computer Modelling , vol.36 , pp. 1021-1026
    • Saker, S.H.1    Zhang, B.G.2
  • 18
    • 0037443339 scopus 로고    scopus 로고
    • Oscillation and global attractivity in hematopoiesis model with delay time
    • Saker S.H. Oscillation and global attractivity in hematopoiesis model with delay time. Applied Mathematics and Computation 136 (2003) 241-250
    • (2003) Applied Mathematics and Computation , vol.136 , pp. 241-250
    • Saker, S.H.1
  • 19
    • 34147180808 scopus 로고
    • Oscillation in nonlinear differential-delay equations
    • Abstract Cauchy Problems and Functional Differential Equations. Kappel F., and Schappacher W. (Eds), Pitman Advanced Publishing Program, Boston, Lonton, Melbourne
    • Schmitt K. Oscillation in nonlinear differential-delay equations. In: Kappel F., and Schappacher W. (Eds). Abstract Cauchy Problems and Functional Differential Equations. Research Notes in Mathematics (1981), Pitman Advanced Publishing Program, Boston, Lonton, Melbourne 191-211
    • (1981) Research Notes in Mathematics , pp. 191-211
    • Schmitt, K.1
  • 20
    • 34447619209 scopus 로고    scopus 로고
    • H. Smith, Monotone Dynamical Systems, AMS Surveys and Monographs Providence, Hode Island, 1995
  • 21
    • 0035882630 scopus 로고    scopus 로고
    • Traveling waves for the diffusive Nicholson's blowflies equation
    • So J.W.-H., and Zou X. Traveling waves for the diffusive Nicholson's blowflies equation. Applied Mathematics and Computation 122 (2001) 385-392
    • (2001) Applied Mathematics and Computation , vol.122 , pp. 385-392
    • So, J.W.-H.1    Zou, X.2
  • 22
    • 0141922770 scopus 로고    scopus 로고
    • Stability of scalar delay differential equations with dominant delayed terms
    • Tang X., and Zou X. Stability of scalar delay differential equations with dominant delayed terms. Proceedings of the Royal Society of Edinburgh A 133 (2003) 951-968
    • (2003) Proceedings of the Royal Society of Edinburgh A , vol.133 , pp. 951-968
    • Tang, X.1    Zou, X.2
  • 24
    • 33846359165 scopus 로고    scopus 로고
    • Springer
    • Wu J.H. Theory and Application of Partial Functional Differential Equation. Applied Mathematical Sciences vol. 119 (1996), Springer
    • (1996) Applied Mathematical Sciences , vol.119
    • Wu, J.H.1
  • 25
    • 0343717093 scopus 로고    scopus 로고
    • Traveling wave fronts of reaction-diffusion systems with delay
    • Wu J.H., and Zou X.F. Traveling wave fronts of reaction-diffusion systems with delay. Journal of Dynamics and Differential Equations 13 3 (2001) 651-687
    • (2001) Journal of Dynamics and Differential Equations , vol.13 , Issue.3 , pp. 651-687
    • Wu, J.H.1    Zou, X.F.2
  • 26
    • 34447617754 scopus 로고    scopus 로고
    • Y.J. Yang, J.W.H. So, Dynamics for the diffusive Nicholson's blowflies equation, in: W. Chen, S.C. Hu (Eds.), Proceeding of the International Conference on Dynamical Systems and Differential Equation, Springfiled, Missouri, USA M29-June, 1996, vol. II, An added Volumeto discrete and continuous Dynamical Systems (1998) pp. 333-352. Reaction-Diffusion Equation with time delay: Theory, Application and Numerical simulation
  • 27
    • 0000602617 scopus 로고
    • Asymptotic stability for one dimensional differential-delay equations
    • York J.A. Asymptotic stability for one dimensional differential-delay equations. Journal of Differential Equations 7 (1970) 189-202
    • (1970) Journal of Differential Equations , vol.7 , pp. 189-202
    • York, J.A.1
  • 28
    • 84972559016 scopus 로고
    • Oscillation of nonlinear parabolic equations with functional arguments
    • Yoshida N. Oscillation of nonlinear parabolic equations with functional arguments. Hiroshima Mathematical Journal 16 (1986) 305-314
    • (1986) Hiroshima Mathematical Journal , vol.16 , pp. 305-314
    • Yoshida, N.1
  • 29
    • 0347040711 scopus 로고
    • Forced oscillations of parabolic equations with deviating arguments
    • Yoshida N. Forced oscillations of parabolic equations with deviating arguments. Mathematics Journal of Toyama University 15 (1992) 131-142
    • (1992) Mathematics Journal of Toyama University , vol.15 , pp. 131-142
    • Yoshida, N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.