#OXYGEN FORENSIC SUITE V6.3 SERIAL SERIAL#
In Figure 3a–d, the dynamics of serial killer humans C h ( t ) have been shown at different fractional-orders of ℘ before and after control strategies. The weapons class is controlled, reduced, and approaching zero in these three figures. While Figure 2a–d are the graphs after applying the control strategies by changing the values of most affected parameters as given in Table 2. Figure 2a is the plot before the control parameters in which the weaponized people are increasing and, thus, the number of serial killers also increases. Figure 2a–d show the dynamics of weaponization in humans W h ( t ) at different fractional-orders of ℘ before and after control strategies. In these three figures, the susceptible class is controlled and increasing. While Figure 1b–d are the plots after we applied the control strategies by changing the values of the most affected parameter, as given in Table 2.
Figure 1a is the plot before control parameters in which the susceptible people are decreasing and transferring to the serial killers. Figure 1a–d represents the the dynamics of susceptible humans (free of crimes) S h ( t ) at a different fractional order of ℘ before and after control strategies. We have taken four different sets of parameter, one without control and the remaining three simulated by applying some control strategies for all of the compartments in problem ( 2) and at a different fractional order of ℘. The initial values for all cases of the given system are S h ( 0 ) = 1000, W h ( 0 ) = 20, C h ( 0 ) = 20, G h ( 0 ) = 10 and J h ( 0 ) = 10.
#OXYGEN FORENSIC SUITE V6.3 SERIAL VERIFICATION#
In this section, we establish the approximate solution of our considered Model ( 2) using various parameters given in Table 2 for verification of the proposed scheme. The Kawahara equation has been studied under the AB operator by Rahman et al. investigated the tumor-immune-vitamins model using the AB fractional operator. used the AB operator to analyze the TB disease with incomplete treatment. The AB operator has many applications in the applied sciences. The new derivative operator was also employed, ensuring that the kernel has neither singularity nor localization. To address these limitations, Atangana and Baleanu (AB) introduced a novel type of FD through the nonsingular and nonlocal kernel, which we call the Mittag–Leffler kernel.
In this operator, there is the kernel’s locality problem. After many decades, a new FD known as the Caputo–Fabrizio (CF) operator was defined through a non-singular kernel to avoid such a problem. The study of real problems using FDs frequently results in singularities that are unsatisfactory for mathematical model dynamics. The definition of Caputo FD is based on the singular power-law kernel. Later on, Caputo subsequently redefined and enhanced the definition of FD. Riemann–Liouville constructed the definition of the fractional derivative (FD). To address the shortcomings of the ordinary operator, a variety of fractional order derivatives have been designed.
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