Detailed experimental mappings of the dynamics of a Fabry-Perot type semiconductor laser subjected to external optical injection along with parameters describing the injected laser have been published by Eriksson and Lindberg [J. Opt. B: Quantum Semiclass. Opt. 4 (2002) 149] and by Eriksson [Opt. Commun. 210 (2002) 343]. This paper reports on a numerical investigation of the injection experiments. By computing the largest Lyapunov exponent, the chaotic islands, periodic windows and locking ranges are compared in detail with the experimental results for three different operating points of the laser. The numerical results are in good agreement with the experiment once the linewidth enhancement factor is increased from the earlier reported value of 3.9 +/- 0.5 to about 6.7. The new value is confirmed by a re-measurement of the linewidth enhancement factor using a current modulation technique. (C) 2004 Elsevier B.V. All rights reserved.