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Volumn 63, Issue 6, 2003, Pages 2063-2086

Stability and traveling fronts in Lotka-Volterra competition models with stage structure

Author keywords

Competition; Global stability; Reaction diffusion; Stage structure; Time delay; Traveling front

Indexed keywords

ASYMPTOTIC STABILITY; BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; LINEARIZATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; POLES AND ZEROS; PROBABILITY DENSITY FUNCTION; PROBLEM SOLVING; ROOT LOCI; THEOREM PROVING;

EID: 1642421831     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139902416500     Document Type: Article
Times cited : (69)

References (9)
  • 1
    • 0025132577 scopus 로고
    • A time-delay model of single species growth with stage structure
    • W.G. Aiello and H.I. Freedman, A time-delay model of single species growth with stage structure, Math. Biosci., 101 (1990), pp. 139-153.
    • (1990) Math. Biosci. , vol.101 , pp. 139-153
    • Aiello, W.G.1    Freedman, H.I.2
  • 2
    • 0344578958 scopus 로고    scopus 로고
    • Monotone travelling fronts in an age-structured reaction-diffusion model of a single species
    • J. Al-Omari and S.A. Gourley, Monotone travelling fronts in an age-structured reaction-diffusion model of a single species, J. Math. Biol., 45 (2002), pp. 294-312.
    • (2002) J. Math. Biol. , vol.45 , pp. 294-312
    • Al-Omari, J.1    Gourley, S.A.2
  • 3
    • 0018927481 scopus 로고
    • Time lags and global stability in two-species competition
    • K. Gopalsamy, Time lags and global stability in two-species competition, Bull. Math. Biol., 42 (1980), pp. 729-737.
    • (1980) Bull. Math. Biol. , vol.42 , pp. 729-737
    • Gopalsamy, K.1
  • 4
    • 0037101519 scopus 로고    scopus 로고
    • Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays
    • J. Huang and X. Zou, Traveling wavefronts in diffusive and cooperative Lotka-Volterra system with delays, J. Math. Anal. Appl., 271 (2002), pp. 455-466.
    • (2002) J. Math. Anal. Appl. , vol.271 , pp. 455-466
    • Huang, J.1    Zou, X.2
  • 5
    • 84966246501 scopus 로고
    • Abstract functional differential equations and reaction-diffusion systems
    • R.H. Martin and H. Smith, Abstract functional differential equations and reaction-diffusion systems, Trans. Amer. Math. Soc., 321 (1990), pp. 1-44.
    • (1990) Trans. Amer. Math. Soc. , vol.321 , pp. 1-44
    • Martin, R.H.1    Smith, H.2
  • 7
    • 32044440101 scopus 로고    scopus 로고
    • A reaction-diffusion model for a single species with age structure. I. Travelling wavefronts on unbounded domains
    • J. W.-H. So, J. Wu, and X. Zou, A reaction-diffusion model for a single species with age structure. I. Travelling wavefronts on unbounded domains, R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci., 457 (2001), pp. 1841-1853.
    • (2001) R. Soc. Lond. Proc. Ser. A Math. Phys. Eng. Sci. , vol.457 , pp. 1841-1853
    • So, J.W.-H.1    Wu, J.2    Zou, X.3
  • 8
    • 0035882630 scopus 로고    scopus 로고
    • Travelling waves for the diffusive Nicholson's blowflies equation
    • J. W.-H. So and X. Zou, Travelling waves for the diffusive Nicholson's blowflies equation, Appl. Math. Comput., 122 (2001), pp. 385-392.
    • (2001) Appl. Math. Comput. , vol.122 , pp. 385-392
    • So, J.W.-H.1    Zou, X.2
  • 9
    • 0343717093 scopus 로고    scopus 로고
    • Travelling wave fronts of reaction-diffusion systems with delay
    • J. Wu and X. Zou, Travelling wave fronts of reaction-diffusion systems with delay, J. Dynam. Differential Equations, 13 (2001), pp. 651-687.
    • (2001) J. Dynam. Differential Equations , vol.13 , pp. 651-687
    • Wu, J.1    Zou, X.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.