ملخص
In this paper, we developed and fully analysed a mathematical model for the dynamics of predator and prey where the carrying capacity is considered to be a logistically increasing function of time, and both populations are under harvesting. Our results showed that if the harvesting rate is high then both populations could go to extinction. We also showed that the system undergoes Hopf bifurcation when the harvesting rate of the prey crosses a critical value; in fact the stability of the system changes with the change of the values of the prey harvesting rate. Optimal harvesting is shown to give a high yield and keep both population away from extension.
اللغة الأصلية | English |
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رقم المقال | 12 |
الصفحات (من إلى) | 1-19 |
عدد الصفحات | 19 |
دورية | Communications in Mathematical Biology and Neuroscience |
مستوى الصوت | 2020 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - 2020 |
ASJC Scopus subject areas
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