Co-existência de Espécies em Sistemas Presa-predador com Switching
Abstract
Full Text:
PDF (Português (Brasil))References
[1] P.A. Abrams, H. Matsuda, Positive indirect effects between prey species that share predators, Ecology, 77 (1996), 610.
E. Kuno, Principles of predator-prey interaction in theoretical, experimental, and natural population systems, Advances in Ecological Research, 16 (1987), 249-337.
A.J. Lotka, “Elements of Physical Biology”, Williams and Wilkins, Baltimore, 1925.
H. Matsuda, Evolutionary stable strategies for predator switching, J. Theor. Biol., 115 (1985), 351-366.
H. Matsuda, K. Kawasaki, N. Shigesada, E. Teramoto, L.M. Ricciardi, Switching effect on the stability of the prey-predator system with three trophic levels, J. Theor. Biol., 122 (1986), 251-262.
D. Mukherjee, A.B. Roy, Global stability of prey-predator systems with predatory switching, BioSystems, 27, No. 3 (1992), 171-178.
D. Mukherjee, A.B. Roy, On local(ly) ESS of a pair of prey-predator system with predatory switching, Math. Biosciences, 151 (1998), 165-177.
W.W. Murdoch, Switching in general predators: experiments on predator specificity and stability of prey populations, Ecol. Monographs, 39, No. 4 (1969), 335-354.
W.W. Murdoch, S. Avery, M.E.B. Smyth, Switching in predatory fish, Ecology, 56, No. 5 (1975), 1094-1105.
W.W. Murdoch, J.R. Marks, Predation by coccinellid beetles: Experiments on switching, Ecology, 54, No. 1 (1973), 160-167.
A. Oaten, W.W. Murdoch, Switching, functional response, and stability in predator-prey systems, The American Naturalist, 109, No. 967 (1975), 299-318.
S. Palomino-Bean, J.C. Geromel, A.Trofino, J.E.R. Cury, Comparative methods for computation of stability regions of a class of non-linear systems. Em “Anais da 1a. Escola Brasileira de Aplicações em Dinâmica e Controle”, São Carlos, SP, Brazil, 2001.
S. Palomino-Bean, Abordagem Qr para estabilidade regional de sistemas chaveados, “Seleta do XXV CNMAC” (E.X.L. de Andrade, G.N. Silva e A. Sri Ranga, eds.), Tendências em Matemática Aplicada e Computacional, Vol. 4, No. 2, 167-176, SBMAC, 2003.
J.D. Pelletier, Are large complex ecosystems more unstable? A theoretical reassessment with predator switching, Math. Biosciences, 163 (2000), 91-96.
M. Saleem, A.K. Tripathi, A.H. Sadiyal, Coexistence of species in a defensive switching model, Math. Biosciencies, 181 (2003), 145-164.
M. Tansky, Switching effect in prey-predator system, J. Theor. Biol., 70 (1978), 263-271.
E. Teramoto, K. Kawiasaki, N. Shigesada, Switching effect of predation on competitive prey species, J. Theor. Biol., 79 (1979), 303-315.
A.C.S. Vilcarromero, O. Bonato, Modelagem matemática e simulação das intera ções entre o ácaro verde-predador nativo-predador exótico no agroecossistema da mandioca. Em “Anais do XXII CNMAC”, Santos, SP, Brazil, 1999.
A.C.S. Vilcarromero, O. Bonato, J.F.R. Fernandes, Stability analysis in a classical predator-prey model: Example of cassava mites system. Em “Abstracts of XXI International Congress of Entomology”, Foz do Iguaçu, PR, Brazil, 2000.
A.C.S. Vilcarromero, S. Palomino-Bean, O. Bonato, J.F.R. Fernandes, Switching behavior and stability in predator-prey systems. Em “Anais do X Congresso Latinoamericano de Biomatemática, X ALAB”, Campinas, SP. Brazil, 2001.
V. Volterra, “Variazioni e fluttuazioni dei numero di individui in specie animali conviventi”, Mem. Acad. Lincei, 2 (1926), 31-113. (English translation in Chapman, R. N. Animal Ecology, McGraw-Hill, New York, 1931).
DOI: https://doi.org/10.5540/tema.2006.07.02.0317
Article Metrics
Metrics powered by PLOS ALM
Refbacks
- There are currently no refbacks.
Trends in Computational and Applied Mathematics
A publication of the Brazilian Society of Applied and Computational Mathematics (SBMAC)
Indexed in: