We investigate the stability of the equilibria and the invariant manifolds of the host-parastoid model due to Beddington, Free, and Lawton  subject to the Allee effect.
Ufuktepe, Unal; Kapçak, Sinan; and Akman, Olcay
"Stability Analysis of the Beddington Model with Allee Effect,"
Applied Mathematics & Information Sciences: Vol. 09:
2, Article 7.
Available at: https://digitalcommons.aaru.edu.jo/amis/vol09/iss2/7