Geodesic
On Dynamics of Lotka-Volterra Type Operators
Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 1 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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In the present paper, we study dynamics of Lotka-Volterra (LV) type operators defined in finite dimensional simplex. We introduce a new class of LV-type operators, called $M$LV type. Some concrete examples are also provided. We prove that trajectories of such kind of operators converge, and moreover, we find an estimation for fixed points of the introduced operators.
Classification : 47H60, 46T05, 92B99 
@article{BMMS_2014_37_1_a5,
     author = {Farrukh Mukhamedov and Mansoor Saburov},
     title = {On {Dynamics} of {Lotka-Volterra} {Type} {Operators}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2014},
     volume = {37},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2014_37_1_a5/}
}
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Farrukh Mukhamedov; Mansoor Saburov. On Dynamics of Lotka-Volterra Type Operators. Bulletin of the Malaysian Mathematical Society, Tome 37 (2014) no. 1. http://geodesic.mathdoc.fr/item/BMMS_2014_37_1_a5/