Many Pursuers and One Evader Game

Bashir Mai Umar, Hassan Abdullahi, Ahmad Yahaya Haruna and Sani Musa Tsoho
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Bashir Mai Umar: Department of Mathematics Federal University, Gashua, M.B 1005, Yobe, Nigeria Differential Game Research Group Nigeria (DGRGN). Bayero University, Kano Chapter.
Hassan Abdullahi: Department of Mathematics Zamfara State University, Talata Mafara, Zamfara Nigeria Differential Game Research Group Nigeria (DGRGN). Bayero University, Kano Chapter.
Ahmad Yahaya Haruna: Mathematics Unit, Department of General Studies Federal Polytechnic Kabo, Kano Nigeria Differential Game Research Group Nigeria (DGRGN). Bayero University, Kano Chapter.
Sani Musa Tsoho: Differential Game Research Group Nigeria (DGRGN). Bayero University, Kano Chapter.

International Journal of Research and Innovation in Applied Science, 2025, vol. 10, issue 4, 712-722

Abstract: In this paper we study a pursuit differential game in space Rn. The dynamic equation of finite number of pursuers and a single evader are describe by certain first order and second order differential equations respectively. The control functions (of the players) are subject to generalized coordinate-wise integral constraint. Pursuers are focused to catch the evader when the geometric position of at least one pursuer coincides with that of the evader. The pursuers’ strategies are describe in phases. Moreover, we provide conditions that ensure completion of pursuit.

Date: 2025
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