A study of prey-predator relations for mammals

Q. J.A. Khan*, A. F. Ghaleb

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

5 اقتباسات (Scopus)


In this paper, we present a prey-predator nonlinear model for mammals, consisting of large- and small-size prey species with group defence, in a partially protected habitat. If the prey size is small, then it is more prone to the predator at higher densities. Conversely, large prey size at higher densities tend to develop group defence. Therefore, the predator will be attracted towards that area where prey are less in number. A new physical constant has been introduced into the radiation-type condition on that part of the boundary where interaction between prey and predator takes place. This constant allows us to efficiently model group defence capabilities of the herds and its numerical values have to be determined for different pairs of prey-predator species from field observations. A way of measuring the constants involved in the model is suggested. Numerical results are provided and thoroughly discussed for a habitat of circular shape. The obtained results show that in the region away from the protected area, the density of large-size prey species is higher than that of small-size prey species, a fact that is in accordance with observations.

اللغة الأصليةEnglish
الصفحات (من إلى)171-178
عدد الصفحات8
دوريةJournal of Theoretical Biology
مستوى الصوت223
رقم الإصدار2
المعرِّفات الرقمية للأشياء
حالة النشرPublished - يوليو 21 2003

ASJC Scopus subject areas

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