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Zbl 1069.34071
Elabbasy, E.M.; Saker, S.H.
Dynamics of a class of non-autonomous systems of two non-interacting preys with common predator. (English)
[J] J. Appl. Math. Comput. 17, No. 1-2, 195-215 (2005). ISSN 1598-5865; ISSN 1865-2085/e

The system $$y_i'= y_i(a_i- c_i y_i- b_i y_3),\quad i= 1,2,$$ $$y_3'= y_3(- a_3+ b_3 y_1+ b_4 y_2),$$ with positive, variable coefficients is investigated with respect to permanence, extinction and global stability. For periodic coefficients also periodic solutions are studied.
[Lothar Berg (Rostock)]

MSC 2000:: *34C60 Applications of qualitative theory of ODE
92D25 Population dynamics
34C25 Periodic solutions of ODE
34D05 Asymptotic stability of ODE
34D23 Global stability

Keywords: permanence; extinction; global stability; periodic solutions

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