AbstractWe investigate the global asymptotic behavior of solutions of the following anti-competitive system of rational difference equations: xn+1=γ1ynA1+xn,yn+1=β2xnA2+B2xn+yn,n=0,1,…, where the parameters γ1, β2, A1, A2 and B2 are positive numbers and the initial conditions (x0,y0) are arbitrary nonnegative numbers. We find the basins of attraction of all attractors of this system, which are the equilibrium points and period-two solutions.MSC:39A10, 39A11.
We investigate the global asymptotic behavior of solutions of the following anti-competitive system of rational difference equations: xn+1=γ1ynA1+xn,yn+1=β2xnA2+B2xn+yn,n=0,1,…, where the parameters γ1, β2, A1, A2 and B2 are positive numbers and the initial conditions (x0,y0) are arbitrary nonnegative numbers. We find the basins of attraction of all attractors of this system, which are the equilibrium points and period-two solutions. MSC:39A10, 39A11.
Nema pronađenih rezultata, molimo da izmjenite uslove pretrage i pokušate ponovo!
Ova stranica koristi kolačiće da bi vam pružila najbolje iskustvo
Saznaj više