Optimal control analysis of a predator-prey model with harvesting and variable carrying capacity

Ibrahim M. Elmojtaba*, Amina Al-Sawaii, Mariam Al-Moqbali

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمقالمراجعة النظراء

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 الأصليةEnglish
رقم المقال12
الصفحات (من إلى)1-19
عدد الصفحات19
دوريةCommunications in Mathematical Biology and Neuroscience
مستوى الصوت2020
المعرِّفات الرقمية للأشياء
حالة النشرPublished - 2020

ASJC Scopus subject areas

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