Abstract
The stability of equilibrium positions of a single-species population model suggested by Ayala et al. (1973) is studied in the presence of time lag and constant forcing term p. This model is a generalization of the well known logistic model and depends on an additional parameter θS. It is shown that for θ ≥1 the maximum delay for which stability holds decreases as p increases while for 0< θ ≤ ½ it increases. The maximum delay for ½ < θ < 1 is not monotone and has a unique minimum. The conditions that equilibrium position be stable for all time lags are also obtained.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
