Geodesic
Dynamics of a predator-prey model
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 87-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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We construct a global bifurcation diagram of the plane differential system $$ \begin{array}{l} \dot x=x(1-x)-xy/(a+x^2),\\ \dot y=y(\delta-\beta y/x),\\ x(t)>0,\, y(t)>0,\, a>0,\,\delta>0,\,\beta>0, \end{array} $$ which describes the predator-prey interaction.
Keywords: bifurcation diagram, predator-prey model. 
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     author = {E. P. Volokitin and S. A. Treskov},
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E. P. Volokitin; S. A. Treskov. Dynamics of a predator-prey model. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 87-99. http://geodesic.mathdoc.fr/item/SEMR_2010_7_a7/

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