메뉴 건너뛰기




Volumn 39, Issue 6, 1999, Pages 493-517

Lyapunov functions for Lotka-Volterra predator-prey models with optimal foraging behavior

Author keywords

Filippov solutions; Global asymptotic stability; LaSalle invariance principle; Lyapunov functions; Optimal foraging; Population dynamics

Indexed keywords


EID: 0007325771     PISSN: 03036812     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002850050009     Document Type: Article
Times cited : (55)

References (18)
  • 3
    • 0032919304 scopus 로고    scopus 로고
    • Predator migration decisions, the ideal free distribution, and predator-prey dynamics
    • Bernstein, C., Auger, P., Poggiale, C. Predator migration decisions, the ideal free distribution, and predator-prey dynamics. The American Naturalist 153: 267-281, 1999
    • (1999) The American Naturalist , vol.153 , pp. 267-281
    • Bernstein, C.1    Auger, P.2    Poggiale, C.3
  • 4
    • 0000832921 scopus 로고
    • Optimal foraging: Attack strategy of a mantid
    • Charnov, E. L. Optimal foraging: Attack strategy of a mantid. American Naturalist 110: 141-151, 1976
    • (1976) American Naturalist , vol.110 , pp. 141-151
    • Charnov, E.L.1
  • 8
    • 34250482960 scopus 로고
    • On territorial behavior and other factors influencing habitat distribution in birds
    • Fretwell, D. S., Lucas, H. L. On territorial behavior and other factors influencing habitat distribution in birds. Acta Biotheoretica 19: 16-32, 1970
    • (1970) Acta Biotheoretica , vol.19 , pp. 16-32
    • Fretwell, D.S.1    Lucas, H.L.2
  • 9
    • 0030174263 scopus 로고    scopus 로고
    • Optimal foraging and predator-prey dynamics
    • Křivan, V. Optimal foraging and predator-prey dynamics. Theoretical Population Biology 49: 265-290, 1996
    • (1996) Theoretical Population Biology , vol.49 , pp. 265-290
    • Křivan, V.1
  • 10
    • 0030619653 scopus 로고    scopus 로고
    • Dynamic ideal free distribution: Effects of optimal patch choice on predator-prey dynamics
    • Křivan, V. Dynamic ideal free distribution: effects of optimal patch choice on predator-prey dynamics. American Naturalist 149: 164-178, 1997
    • (1997) American Naturalist , vol.149 , pp. 164-178
    • Křivan, V.1
  • 11
    • 0038614850 scopus 로고    scopus 로고
    • Optimal foraging and predator-prey dynamics II
    • Křivan, V., Sikder, A. Optimal foraging and predator-prey dynamics II. Theoretical Population Biology 55: 111-126, 1999
    • (1999) Theoretical Population Biology , vol.55 , pp. 111-126
    • Křivan, V.1    Sikder, A.2
  • 12
    • 0000321235 scopus 로고
    • Switching in general predators: Experiments on predator specificity and stability of prey populations
    • Murdoch, W. W. Switching in general predators: Experiments on predator specificity and stability of prey populations. Ecological Monographs 39(4): 335-354, 1969
    • (1969) Ecological Monographs , vol.39 , Issue.4 , pp. 335-354
    • Murdoch, W.W.1
  • 14
    • 0025662627 scopus 로고
    • Optimality theory in evolutionary biology
    • Parker, G. A., Maynard Smith, J. Optimality theory in evolutionary biology. Nature 348: 27-33, 1990
    • (1990) Nature , vol.348 , pp. 27-33
    • Parker, G.A.1    Maynard Smith, J.2
  • 15
    • 0001313324 scopus 로고
    • Stability in general control systems
    • Roxin, E. Stability in general control systems. Journal of Differential Equations 1: 115-150, 1965
    • (1965) Journal of Differential Equations , vol.1 , pp. 115-150
    • Roxin, E.1
  • 17
    • 18844475269 scopus 로고    scopus 로고
    • Adaptive superparasitism and host-parasitoid dynamics
    • Sirot, E., Křivan, V. Adaptive superparasitism and host-parasitoid dynamics. Bulletin of Mathematical Biology 59: 23-41, 1997
    • (1997) Bulletin of Mathematical Biology , vol.59 , pp. 23-41
    • Sirot, E.1    Křivan, V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.