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This paper is concerned with the problem of uniqueness of limit cycles in a predator-prey system with Holling's functional response xp/(a + xp), where a and p are positive parameters. The problem has not yet been settled only in the case 1 < p < 2. This paper gives a sufficient condition under which the predator-prey system with 1 < p < 2 has exactly one limit cycle by using a result of Zhang and Gao. Finally, the fact that our condition is also necessary is mentioned.

Uniqueness of limit cycles in a predator-prey system with Holling-type functional response