Geodesic
Dynamics of a~predator-prey model
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 7 (2010), pp. 87-99

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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. 
@article{SEMR_2010_7_a7,
     author = {E. P. Volokitin and S. A. Treskov},
     title = {Dynamics of a~predator-prey model},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {87--99},
     publisher = {mathdoc},
     volume = {7},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2010_7_a7/}
}
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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/