Mathematical model of terrorism population dynamics: A case Of A Community Under The Attack Of Two Terrorists Groups:- Aja, Remigius O.
Abstract
We formulated in this work, a mathematical model
which is made up of system of non-linear ordinary differential equations that
is analyzed so to study the dynamics of terrorism, a case of a community under
the attack of two terrorists groups. The basic terrorism multiplication number
(Mq) was computed after which we investigated the existence of Terrorism Free
Equilibrium point (TFE) which was investigated to be locally and globally
aymptotically stable whenever (Mq) < 1 and (Mq) > 1 respectively. A
unique equilibrium point known as, Terrorism Persistent Equilibrium point (TPE)
was also investigated to exist whenever(Jllo) > 1* Sensitivity analysis
ofthe basic terrorism multiplication number (Mq) was then carried out to see
the impacts of some parameters to the growth of terrorism in a population.
Results show that, the rate at which individuals are exposed to terrorists
group two and the rate at which terrorists in group one are recruited into
terrorists group two represented by (lj) and ($i) respectively are the most
sensitive parameters that increase terrorism in a population, as an increase in
the parameter values reduces the value of the basic terrorism multiplication
number (Mq) to a value less than unity. The obtained mathematical result
implies that, the terrorists group two (T?) has a mighty negative effect on the
growth of terrorism in a population. Finally, numerical simulation was
performed which results were in conformity with our analytical results.
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REMIGIUS, A (2025). Mathematical model of terrorism population dynamics: A case Of A Community Under The Attack Of Two Terrorists Groups:- Aja, Remigius O.. Repository.mouau.edu.ng: Retrieved Dec 10, 2025, from https://repository.mouau.edu.ng/work/view/mathematical-model-of-terrorism-population-dynamics-a-case-of-a-community-under-the-attack-of-two-terrorists-groups-aja-remigius-o-7-2
AJA, REMIGIUS. "Mathematical model of terrorism population dynamics: A case Of A Community Under The Attack Of Two Terrorists Groups:- Aja, Remigius O." Repository.mouau.edu.ng. Repository.mouau.edu.ng, 09 Dec. 2025, https://repository.mouau.edu.ng/work/view/mathematical-model-of-terrorism-population-dynamics-a-case-of-a-community-under-the-attack-of-two-terrorists-groups-aja-remigius-o-7-2. Accessed 10 Dec. 2025.
AJA, REMIGIUS. "Mathematical model of terrorism population dynamics: A case Of A Community Under The Attack Of Two Terrorists Groups:- Aja, Remigius O.". Repository.mouau.edu.ng, Repository.mouau.edu.ng, 09 Dec. 2025. Web. 10 Dec. 2025. < https://repository.mouau.edu.ng/work/view/mathematical-model-of-terrorism-population-dynamics-a-case-of-a-community-under-the-attack-of-two-terrorists-groups-aja-remigius-o-7-2 >.
AJA, REMIGIUS. "Mathematical model of terrorism population dynamics: A case Of A Community Under The Attack Of Two Terrorists Groups:- Aja, Remigius O." Repository.mouau.edu.ng (2025). Accessed 10 Dec. 2025. https://repository.mouau.edu.ng/work/view/mathematical-model-of-terrorism-population-dynamics-a-case-of-a-community-under-the-attack-of-two-terrorists-groups-aja-remigius-o-7-2