The Effect of Proportional Recruitment in the Solution of a Terrorist Mathematical Mode

Abstract

Many mathematical models of terrorist population growth assumed a constant rate of
influx into the susceptible subpopulation. In reality it is plausible to assume that the
recruitment into the susceptible subpopulation might depend on the number of individuals
in the susceptible subpopulation and on the number of the terrorist itself. For the
terrorist, the bigger the size of their population, it is likely, the more intense the program
they run to attract people to become susceptible to the ideology they bear. Likewise, the
bigger the size of terrorist populations the more intense protection made by the authority
or government to their citizens (general population). This phenomenon is rarely discussed
in many terrorist population growth mathematical models. In this paper we discuss a
model by considering a proportional recruitment to the susceptible subpopulation and
look at the relationship between this recruitment and the effect to the critical level of
intervention. We found that in some circumstances intervention may lead to a paradoxical
situation in which more militants appear. We also discuss the level of infiltration that able
to reduce the number of militants.