On almost periodic solutions of the competing species problems

Ahmad, Shair

doi:10.1090/S0002-9939-1988-0934856-5

On almost periodic solutions of the competing species problems
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Proc. Amer. Math. Soc. 102 (1988), 855-861 Request permission

Abstract:

This paper considers the two-dimensional Volterra-Lotka competition equations which are almost periodic in time. Conditions for the existence of an asymptotically stable almost periodic solution with positive components are given.

References

Shair Ahmad, Convergence and ultimate bounds of solutions of the nonautonomous Volterra-Lotka competition equations, J. Math. Anal. Appl. 127 (1987), no. 2, 377–387. MR 915064, DOI 10.1016/0022-247X(87)90116-8
Carlos Alvarez and Alan C. Lazer, An application of topological degree to the periodic competing species problem, J. Austral. Math. Soc. Ser. B 28 (1986), no. 2, 202–219. MR 862570, DOI 10.1017/S0334270000005300

Soluzioni quasiperiodiche, o limite di sistemi differenziali quasiperiodici o limitati

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Almost periodic functions

K. Gopalsamy, Global asymptotic stability in an almost-periodic Lotka-Volterra system, J. Austral. Math. Soc. Ser. B 27 (1986), no. 3, 346–360. MR 814407, DOI 10.1017/S0334270000004975
Robert J. Sacker and George R. Sell, Lifting properties in skew-product flows with applications to differential equations, Mem. Amer. Math. Soc. 11 (1977), no. 190, iv+67. MR 448325, DOI 10.1090/memo/0190