Periodic Solutions of the N-Preys and M-Predators Model with Variable Rates on Time Scales

Shekhar Singh Negi, Syed Abbas () and Muslim Malik
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Shekhar Singh Negi: Indian Institute of Technology Mandi
Syed Abbas: Indian Institute of Technology Mandi
Muslim Malik: Indian Institute of Technology Mandi

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 3, 945-967

Abstract: Abstract In this paper, we establish the existence of periodic solution of a delayed predator-prey model with M -predators and N -preys over the time scales. We derive sufficient conditions for the existence of a periodic solution with the help of continuation theorem of coincidence degree theory. At the end, we give an example with numerical simulations to illustrate our analytical findings.

Keywords: Time scale; prey-predator model; continuation theorem; coincidence degree; periodic solution; 34N05; 93A30; 47H11 (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-020-0443-3

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