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Volumn 53, Issue 11, 2006, Pages 1304-1307

Dynamics and Traveling Waves in CNN Vector Disease Model

Author keywords

Cellular neural network (CNN); harmonic balance method; traveling waves; vector disease model

Indexed keywords

COMPUTER SIMULATION; DISEASES; MATHEMATICAL MODELS; VECTORS;

EID: 37849186454     PISSN: 15497747     EISSN: 15583791     Source Type: Journal    
DOI: 10.1109/TCSII.2006.882358     Document Type: Article
Times cited : (4)

References (16)
  • 3
    • 0024088955 scopus 로고
    • Cellular neural networks: Theory
    • Oct.
    • L. O. Chua and L. Yang, “Cellular neural networks: Theory,” IEEE Trans. Circuits Syst., vol. 35, no. 10, pp. 1257–1272, Oct. 1988.
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , Issue.10 , pp. 1257-1272
    • Chua, L.O.1    Yang, L.2
  • 5
    • 0029388784 scopus 로고
    • Autonomous cellular neural networks: A unified paradigm for pattern formation and active wave propagation
    • Oct.
    • L. O. Chua, M. Hasler, S. Moschytz, and J. Neirynsk, “Autonomous cellular neural networks: A unified paradigm for pattern formation and active wave propagation,” IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 10, pp. 559–577, Oct. 1995.
    • (1995) IEEE Trans. Circuits Syst. I, Fundam. Theory Appl. , vol.42 , Issue.10 , pp. 559-577
    • Chua, L.O.1    Hasler, M.2    Moschytz, S.3    Neirynsk, J.4
  • 6
    • 0003100558 scopus 로고
    • Stability analysis for a vector disease model
    • K. L. Cooke, “Stability analysis for a vector disease model,” Rocky Mt. J. Math., vol. 9, no. 1, pp. 31–42, 1979.
    • (1979) Rocky Mt. J. Math. , vol.9 , Issue.1 , pp. 31-42
    • Cooke, K.L.1
  • 7
    • 34250627892 scopus 로고
    • Geometric singular perturbation theory for ordinary differential equations
    • N. Fenichel, “Geometric singular perturbation theory for ordinary differential equations,” J. Differ. Equ., vol. 31, no. 1, pp. 53–98, 1979.
    • (1979) J. Differ. Equ. , vol.31 , Issue.1 , pp. 53-98
    • Fenichel, N.1
  • 8
    • 0345983653 scopus 로고    scopus 로고
    • Cellular neural networks: A paradigm for nonlinear spatio-temporal processing
    • L. Fortuna, P. Arena, D. Balya, and A. Zarandy, “Cellular neural networks: A paradigm for nonlinear spatio-temporal processing,” IEEE Circuits Syst. Mag., vol. 1, no. 4, pp. 6–21, 2001.
    • (2001) IEEE Circuits Syst. Mag. , vol.1 , Issue.4 , pp. 6-21
    • Fortuna, L.1    Arena, P.2    Balya, D.3    Zarandy, A.4
  • 10
    • 0033164105 scopus 로고    scopus 로고
    • Traveling waves in cellular neural networks
    • C.-H. Hsu, S.-S. Lin, and W. Shen, “Traveling waves in cellular neural networks,” Int. J. Bifurc. Chaos, vol. 9, no. 7, pp. 1307–1319, 1999.
    • (1999) Int. J. Bifurc. Chaos , vol.9 , Issue.7 , pp. 1307-1319
    • Hsu, C.-H.1    Lin, S.-S.2    Shen, W.3
  • 11
    • 37949046999 scopus 로고
    • Discussion on “Measles periodicity and community size
    • Ed.
    • D. G. Kendall, M. S. Barlett, Ed., “Discussion on “Measles periodicity and community size”,” J. R. Stat. Soc. A, vol. 120, pp. 64–76, 1957.
    • (1957) J. R. Stat. Soc. A , vol.120 , pp. 64-76
    • Kendall, D.G.1    Barlett, M.S.2
  • 12
    • 0000998185 scopus 로고
    • A contribution to the mathematical theory of epidemics
    • Aug.
    • W. O. Kermack and A. G. McKendrik, “A contribution to the mathematical theory of epidemics,” Proc. R. Soc. Lond. A, Math Phys. Sci., vol. 115, no. 772, pp. 700–721, Aug. 1927.
    • (1927) Proc. R. Soc. Lond. A, Math Phys. Sci. , vol.115 , Issue.772 , pp. 700-721
    • Kermack, W.O.1    McKendrik, A.G.2
  • 15
    • 10044257560 scopus 로고    scopus 로고
    • Stability of steady states and existence of traveling waves in a vector-disease model
    • Oct.
    • S. Ruan and D. Xiao, “Stability of steady states and existence of traveling waves in a vector-disease model,” Proc. R. Soc. Edinb., vol. 134A, no. 5, pp. 991–1011, Oct. 2004.
    • (2004) Proc. R. Soc. Edinb. , vol.134A , Issue.5 , pp. 991-1011
    • Ruan, S.1    Xiao, D.2
  • 16
    • 0033887522 scopus 로고    scopus 로고
    • Applications of some mathematical methods in the analysis of cellular neural networks
    • Feb.
    • A. Slavova, “Applications of some mathematical methods in the analysis of cellular neural networks,” J. Comput. Appl. Math., vol. 114, no. 2, pp. 387–404, Feb. 2000.
    • (2000) J. Comput. Appl. Math. , vol.114 , Issue.2 , pp. 387-404
    • Slavova, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.