





































The Great Gun Grab 

 

A. Kazmierczak 

T. H. E. Institute 

1111 E Brooks St. 

Norman OK 73071 

akazmierczak1949@gmail.com 

 

 

Abstract 
In recent years in the US there have been a number of mass shootings in middle schools, high 

schools and colleges. These shootings have cost a large number of fatalities of Americans young 

people. After each shooting, the liberals come out with a call to ban guns, or certain types of 

guns. Americans have been in love with their guns since the American Revolution. In fact, the 

colonists only won because they possessed firearms. Gun owners will not willingly give up their 

guns. In this paper, we want to look at various ways liberals can get their way and the potential 

consequences. 

Keywords: gun control, confiscation, liberals, NATO 

 

1.0 Introduction 

In recent years in the US there have been a number of mass shootings in middle schools, high 

schools and colleges. These shootings have cost a large number of fatalities of Americans young 

people. After each shooting, the liberal politicians come out with a call to “ban guns”, or certain 

types of guns. They are pushing for new legal measure to implement gun control. Americans 

have been in love with their guns since the American Revolution. Very many gun owners will 

not willingly give up their guns. In this paper, we want to look at various ways liberals can get 

their way and the potential consequences. 

There have already been groups, including many law enforcement agencies, that have come flat 

out and said “NO! we will not obey those laws.” In response, the liberals have come up with the 

idea of confiscating guns if necessary. The same people have said the same thing “NO!” The 

liberals’ next idea was to have law enforcement officials confiscate guns. Law enforcement 

agencies across the country have expressed their feelings about this, “NO! Law enforcement 

will not act against the American people.” Unfortunately, in a few Northeastern states, laws 

have been passed to ban guns and gun confiscation has been done in those states. Liberals are 

trying to pass such laws in other states. We have to expect that many local law enforcement 

personnel will quit police work rather than trying to force their neighbors to give up their guns. 

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mailto:akazmierczak1949@gmail.com


The liberals’ next idea may well try to use the military to confiscate guns. There is a clause in 

the Constitution that expressly forbids the use of American Military Forces to take action 

against US citizens. If law enforcement can’t or won’t do the job, perhaps other alternatives will 

be tried. Try using the state militia to confiscate guns. This will be like the American Civil War all 

over again, brother against brother. We can expect some militia members to resign rather than 

fight against American citizens. 

There is potentially one other source that could come in and confiscate Americans guns. That 

would be to call in NATO Forces to carry out the confiscation. This will not be as simple as a 

NATO truck pulling up at your door and saying “Guns please”. With the American attitude that 

they will not give up their guns, there is a very great chance that shots will be fired between 

NATO Forces and American gun owners. Many believe that the first shot fired will be the first 

shot of the Second American Revolution. Let us explore how that option might work out. 

 

2.0 Gun Owner – NATO ODE Model 

Consider the mathematical model: 

 G = a1G/(1+d1N)  -  agnGN/(1+d2N)  - b1G2 = 0 = G(gn)    (1) 

 N = a2N/(1+d3G)  -  agnGN/(1+d2N)  -  b2N2 = 0 = N(gn)    (2) 

The populations G(t) and N(t) represent the number of gun owners and NATO forces 

respectively. The parameters are all assumed positive and their description is given in Table 1a. 

 

Table 1a List of Parameters 

 Symbol  Meaning 

 a1  Growth rate of gun owners 

 a2  Growth rate of NATO forces 

 agn  Maximum per capita loss in N 

 b1  Population loss in G 

 b2  Population loss in N 

 d1  Effectiveness of N in disrupting G 

 d2  Resilience of G to N 

 d3  Effectiveness of G in disrupting N 

 

The values chosen for the parameters in the model are shown Table1b. 

 

 

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Table 1b Values of Parameters 

a1        a2 agn        b1        b2         d1        d2        d3 

       2        2         2         .5        .5         2        2        3 
 

 

 

2.1 Gun Owner NATO Equal Populations 

The first question to be asked is how can you tell what the population of gun owners is? 

Because every time a gun owner buys a gun from a gun dealer, their name goes into a federal 

data base of registered gun owners. 

Reconsider our original mathematical model. 

G = a1G/(1+d1N)  -  agnGN/(1+d2N)  - b1G2 = 0 = G(gn)    (3) 

 N = a2N/(1+d3G)  -  agnGN/(1+d2N)  -  b2N2 = 0 = N(gn)    (4) 

Since these are second order equations, to solve them we need to form the Jacobian and solve 

the Jacobian for equilibrium points. 

The Jacobian is formed as: 

     |  ∂G/∂G         ∂G/∂N  | 

    J |                                     | 

     |  ∂N/∂G         ∂N/∂N  | 

Taking the partial derivatives, substituting values for parameter, the Jacobian becomes: 

    |              G                      4G - 2N/(1+2N)2    | 

   J |                                                                               | 

    | -6N – 2N/(1+2N)     2/(1+3G) -2N/(1+2N) –N| 

Now we solve the Jacobian for equilibrium points. We do that using the Maple CAS. 

 

2.1.1 Equilibrium Points 

The real valued equilibrium points are: 

{G = 0., N = 0.},  

{G = 0., N = 4.},  

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{G = 4., N = 0.},  

{G = .4891955799, N = .6319394087} 

{G = -.4325627635, N = -.6082709305},  

{G = -.4345884397, N = .1197573734},  

{G = -3.074988235, N = -2.874675564} 

The eigenvalues for these equilibrium points are: 

(0, 2) 

(-13/9+(1/27)*sqrt(3313), -13/9-(1/27)*sqrt(3313)) 

(4, 2/13) 

(0.547422083000000e-1+2.69265409004048*I, 0.547422083000000e-1-2.69265409004048*I) 

(-1.20049095525000+6.86103818723393*I, -1.20049095525000-6.86103818723393*I) 

(.662503816667346, -2.00886916896735) 

(6.48125503250000+10.0921214207669*I, 6.48125503250000-10.0921214207669*I) 

 

2.1.2 Stability 

In this section we use the eigenvalues to test for stability. 

 

Equilibrium 
Points 

Eigen 
Values 

Node 
Type 

Stability 

{G = 0., N = 0.},  
 

(0, 2) 
 

Repelling Unstable 

{G = 0., N = 4.},  
 

(-13/9+(1/27)*sqrt(3313),  
-13/9-(1/27)*sqrt(3313))} 

Attracting Asymptotically 
Stable 

{G = 4., N = 0.},  
 

(4, 2/13) 
 

Repelling Unstable 

{G = .4891955799,  
N = .6319394087} 
 

(.0.547422083000000+ 
2.69265409004048*I,  
0.547422083000000e-1-
2.69265409004048*I) 
 

Repelling 
Spirals 

Unstable 

{G = -.4325627635, 
 N = -.6082709305},  
 

(-1.20049095525000+ 
6.86103818723393*I,  
-1.20049095525000-

Attracting 
Spiral 

Asymptotically 
Stable 

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6.86103818723393*I) 
 

{G = -.4345884397,  
N = .1197573734},  
 

(.662503816667346, 
 -2.00886916896735 

Saddle Unstable 

{G = -3.074988235,  
N = -2.874675564} 
 

(6.48125503250000+ 
10.0921214207669*I, 
6.48125503250000-
10.0921214207669*I) 
 

Repelling 
Spirals 

Unstable 

 

As can be expected, the introduction of foreign troops on American soil is having a destabilizing 

Influence. 

 

2.2 NATO Forces Outnumber Gun Owners 

Since there may be hundreds of thousands gun owner, it may be necessary to call in a few more 

NATO troops. Fifty percent more NATO may help. 

G = a1G/(1+d1N*1.5)  -  agnGN*1.5/(1+d2N*1.5)  - b1G2 = 0 = G(gn)   (5) 

 N = a2N*1.5/(1+d3G)  -  agnGN*1.5/(1+d2N*1.5)  -  b2(N*1.5)2 = 0 = N(gn)  (6) 

This of course changes the Jacobian to: 

   | 2/(1+3N) – 3/(1+3N) – G       -6G – 3G/(1+3N)              | 

  J |                           | 

   | 9N -3N/(1+3N)                          3/(1+3G) – (3G + 4.5GN)/(1+3N) – 1.5N| 

 

2.2.1 Equilibrium Points 

Using the Maple CAS the real valued equilibrium points are: 

{G=0.,N=0.}, 

{G=0.,N=4.}, 

{G=4.,N=0.}, 

{G=0.5645952421,N=0.4242232302}, 

{G=-0.4331330963,N=-0.4050035932}, 

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{G=-0.4344789342,N=0.07995039023} 

{G=-3.409327263,N=-2.777186302}, 

 

2.2.2 Eigenvalues 

Maple also gives the eigenvalues: 

0, 0 

-112/9+(128/27)*sqrt(7), -112/9-(128/27)*sqrt(7) 

4, 0 

-1.21987464895000+1.68955160788912*I, -1.21987464895000-1.68955160788912*I 

-9.17015494741073, 15.4304003821107 

.548710843003933, -1.60074941050393 

6.01711066850000+10.8450561032619*I, 6.01711066850000-10.8450561032619*I 

 

2.2.3 Stability 

 

Equilibrium 
Points 

Eigen 
values 

Node 
Type 

Stability 

{G=0.,N=0.}, 
 

0, 0 
 

Attracting Asymptotically 
Stable 

{G=0.,N=4.}, 
 

-112/9+(128/27)*sqrt(7),  
-112/9-(128/27)*sqrt(7) 
 

Attracting Asymptotically 
Stable 

{G=4.,N=0.}, 
 

4, 0 
 

Repelling Unstable 

{G=0.5645952421, 
N=0.4242232302}, 
 

-1.21987464895000+ 
1.68955160788912*I,  
-1.21987464895000- 
1.68955160788912*I 
 

Attracting  
Spiral 

Asymptotically 
Stable 

{G=-0.4331330963, 
N=-0.4050035932}, 
 

-9.17015494741073,  
15.4304003821107 
 

Saddle Unstable 

{G=-0.4344789342, 
N=0.07995039023} 

.548710843003933,  
-1.60074941050393 

Saddle Unstable 

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{G=-3.409327263, 
N=-2.777186302}, 
 

6.01711066850000+ 
10.8450561032619*I, 
 6.01711066850000- 
10.8450561032619*I 
 

Repelling  
Spiral 

Unstable 

 

Adding fifty percent more foreign does not seem to affect the overall stability of the system. 

 

3.0 Even More NATO Forces 

Perhaps fifty percent more NATO will not get the job done or will not get it done fast enough. 

So, double the original number of NATO forces 

G = a1G/(1+d1N*2)  -  agnGN*2/(1+d2N*2)  - b1G2 = 0 = G(gn)   (7) 

 N = a2N*2/(1+d3G)  -  agnGN*2/(1+d2N*2)  -  b2(N*2)2 = 0 = N(gn)   (8) 

This changes the Jacobian to: 

  |   - 2N/(1+4N –G            -8G – (16GN2 – 12GN)/(1+4N)2  | 

 J |               | 

  | -12  - 4N/(1+4N) -2N    4/(1+3G) – 16GN2 – 4GN)/(1+4N)2  -2N| 

 

3.1.1 Equilibrium Points 

The real valued equilibrium are: 

{G = 0., N = 0.}, 

{G = 0., N = 4.},  

{G = 4., N = 0.},  

{G = .6081201589, N = .3186790244} 

{G = -.4334163760, N = -.3035622451},  

{G = -.4344240097, N = 0.6000496273e-1},  

{G = -3.740679177, N = -2.699888708} 

 

 

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3.1.2 Eigenvalues 

The eigenvalues for this are: 

0, 0 

-112/9+(128/27)*sqrt(7), -112/9-(128/27)*sqrt(7) 

4, 0 

-.846607010050000+1.71306981470163*I, -.846607010050000-1.71306981470163*I 

-1.85240411231455, 4.78569675231455 

.474822350546164, -1.37642690614616 

5.61568442150000+11.5023751979819*I, 5.61568442150000-11.5023751979819*I 

 

3.3.3 Stability 

Equilibrium 
Point 

Eigen 
values 

Node Type Stability 

{G = 0., N = 0.}, 
 

0, 0 
 

Attracting Asymptotically 
Stable 

{G = 0., N = 4.},  
 

-112/9+(128/27)*sqrt(7),  
-112/9-(128/27)*sqrt(7) 
 

Saddle Unstable 

{G = 4., N = 0.},  
 

4, 0 
 

Attracting Stable 

{G = 
.6081201589,  
N = 
.3186790244} 
 

-.846607010050000 
+1.71306981470163*I, 
 -.846607010050000 
-1.71306981470163*I 
 

Attracting Stable 

{G = -
.4334163760,  
N = -
.3035622451},  
 

-1.85240411231455, 
 4.78569675231455 
 

Saddle Unstable 

{G = -
.4344240097,  
N = 
.06000496273},  
 

.474822350546164, 
 -1.37642690614616 
 

Saddle Unstable 

{G = -
3.740679177, 

5.61568442150000 
+11.5023751979819*I,  

Repelling 
Spiral 

Unstable 

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 N = -
2.699888708} 
 

5.61568442150000 
-11.5023751979819*I 
 

 

As we add one-hundred percent more NATO forces, stability of the system remains constant, 

no more unstable nodes than before and no more stable nodes than before. 

 

4.0 Conclusion 

In this scenario where we call in NATO forces to confiscate the guns owned by registered gun 

owners, the increased number of NATO forces make no difference. This is not all that 

surprising. There are millions of Americans that, even though they are not gun owners, would 

see this as an invasion by foreign troops. As more and more NATO troops become involved, so 

will many more of the people that love America becomeinvolved. It is not inconceivable that 

such a war would wreak havoc on the US, and turn the US into a second rate country. 

 

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