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Volumn 28, Issue 3, 2005, Pages 349-362

Relating disease and predation: Equilibria of an epidemic model

Author keywords

Dulac's criterion; Epidemic; Predator; Prey; Stability

Indexed keywords

INTEGRAL EQUATIONS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; POPULATION STATISTICS; THEOREM PROVING;

EID: 12444264844     PISSN: 01704214     EISSN: None     Source Type: Journal    
DOI: 10.1002/mma.573     Document Type: Article
Times cited : (10)

References (13)
  • 2
    • 0002701187 scopus 로고
    • Some remarks on changing populations
    • Grune and Stratton: New York
    • Von Foerster H. Some remarks on changing populations. The Kinetics of Cellular Proliferation. Grune and Stratton: New York, 1959; 382-407.
    • (1959) The Kinetics of Cellular Proliferation , pp. 382-407
    • Von Foerster, H.1
  • 5
    • 0034486891 scopus 로고    scopus 로고
    • The mathematics of infectious diseases
    • Hethcote HW. The mathematics of infectious diseases. SIAM Review 2000; 42:599-653.
    • (2000) SIAM Review , vol.42 , pp. 599-653
    • Hethcote, H.W.1
  • 6
    • 0033149514 scopus 로고    scopus 로고
    • A predator-prey model with disease in the prey
    • Chattopadhyay J, Arino O. A predator-prey model with disease in the prey. Nonlinear Analysis 1999; 36: 747-766.
    • (1999) Nonlinear Analysis , vol.36 , pp. 747-766
    • Chattopadhyay, J.1    Arino, O.2
  • 8
    • 1542434393 scopus 로고
    • Age-structured predator-prey models
    • Venturino E. Age-structured predator-prey models. Mathematical Modelling 1984; 5:117-128.
    • (1984) Mathematical Modelling , vol.5 , pp. 117-128
    • Venturino, E.1
  • 9
    • 0035669003 scopus 로고    scopus 로고
    • The effects of diseases on competing species
    • Venturino E. The effects of diseases on competing species. Mathematical Biosciences 2001; 174:111-131.
    • (2001) Mathematical Biosciences , vol.174 , pp. 111-131
    • Venturino, E.1
  • 11
    • 2942640474 scopus 로고    scopus 로고
    • Asymptotic behaviour of disease-free equilibriums of an age-structured predator-prey model with disease in the prey
    • Arino O, Delgado M, Molina-Becerra M. Asymptotic behaviour of disease-free equilibriums of an age-structured predator-prey model with disease in the prey. Discrete and Continuous Dynamical Systems Series B 2004; 4:501-515.
    • (2004) Discrete and Continuous Dynamical Systems Series B , vol.4 , pp. 501-515
    • Arino, O.1    Delgado, M.2    Molina-Becerra, M.3
  • 12
    • 77952672921 scopus 로고
    • Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations
    • Thieme HR. Convergence results and a Poincaré-Bendixson trichotomy for asymptotically autonomous differential equations. Journal of Mathematical Biology 1992; 30:755-763.
    • (1992) Journal of Mathematical Biology , vol.30 , pp. 755-763
    • Thieme, H.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.