Análises.ipynb

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    "%display typeset"
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     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{n_{1} r_{1}}{n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1}</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{n_{1} r_{1}}{n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1}$$"
      ],
      "text/plain": [
       "n_1*r_1/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)"
      ]
     },
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    },
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{n_{2} r_{2}}{n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1}</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}\\frac{n_{2} r_{2}}{n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1}$$"
      ],
      "text/plain": [
       "n_2*r_2/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{n_{1} r_{1} {\\left(\\frac{n_{1} r_{1}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{1}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}}</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{n_{1} r_{1} {\\left(\\frac{n_{1} r_{1}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{1}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}}$$"
      ],
      "text/plain": [
       "-1/4*n_1*r_1*(n_1*r_1/((n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)*H_1) - 4)/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)"
      ]
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    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{n_{2} r_{2} {\\left(\\frac{n_{2} r_{2}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{2}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}}</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{n_{2} r_{2} {\\left(\\frac{n_{2} r_{2}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{2}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}}$$"
      ],
      "text/plain": [
       "-1/4*n_2*r_2*(n_2*r_2/((n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)*H_2) - 4)/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)"
      ]
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    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-g_{1} n_{1} {\\left(\\frac{\\beta_{12} n_{2} + n_{1}}{W_{1}} - 1\\right)} + \\frac{X n_{1} r_{1} {\\left(\\frac{n_{1} r_{1}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{1}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}}</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-g_{1} n_{1} {\\left(\\frac{\\beta_{12} n_{2} + n_{1}}{W_{1}} - 1\\right)} + \\frac{X n_{1} r_{1} {\\left(\\frac{n_{1} r_{1}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{1}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}}$$"
      ],
      "text/plain": [
       "-g_1*n_1*((beta_12*n_2 + n_1)/W_1 - 1) + 1/4*X*n_1*r_1*(n_1*r_1/((n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)*H_1) - 4)/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)"
      ]
     },
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    },
    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-g_{2} n_{2} {\\left(\\frac{\\beta_{21} n_{1} + n_{2}}{W_{2}} - 1\\right)} + \\frac{X n_{2} r_{2} {\\left(\\frac{n_{2} r_{2}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{2}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}}</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-g_{2} n_{2} {\\left(\\frac{\\beta_{21} n_{1} + n_{2}}{W_{2}} - 1\\right)} + \\frac{X n_{2} r_{2} {\\left(\\frac{n_{2} r_{2}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{2}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}}$$"
      ],
      "text/plain": [
       "-g_2*n_2*((beta_21*n_1 + n_2)/W_2 - 1) + 1/4*X*n_2*r_2*(n_2*r_2/((n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)*H_2) - 4)/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)"
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    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{X Y_{1} n_{1} r_{1} {\\left(\\frac{n_{1} r_{1}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{1}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}} - \\frac{X Y_{2} n_{2} r_{2} {\\left(\\frac{n_{2} r_{2}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{2}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}} - X Z</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{X Y_{1} n_{1} r_{1} {\\left(\\frac{n_{1} r_{1}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{1}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}} - \\frac{X Y_{2} n_{2} r_{2} {\\left(\\frac{n_{2} r_{2}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{2}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}} - X Z$$"
      ],
      "text/plain": [
       "-1/4*X*Y_1*n_1*r_1*(n_1*r_1/((n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)*H_1) - 4)/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1) - 1/4*X*Y_2*n_2*r_2*(n_2*r_2/((n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)*H_2) - 4)/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1) - X*Z"
      ]
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   "source": [
    "var(\"n_1 n_2 X W_1 W_2 r_1 r_2 Y_1 Y_2 t_h_1 t_h_2 g_1 g_2 beta_12 beta_21 Z H_1 H_2 t\")\n",
    "f(n,r)=(n*r)/(1+t_h_1*n_1*r_1+t_h_2*n_2*r_2)\n",
    "η(n,r,H)=f(n,r)*(1-(f(n,r))/(4*H))\n",
    "de1 =  g_1*n_1*(1-(n_1+beta_12*n_2)/W_1)-η(n_1,r_1, H_1)*X\n",
    "de2 =  g_2*n_2*(1-(n_2+beta_21*n_1)/W_2)-η(n_2,r_2,H_2)*X\n",
    "de3 =  Y_1*η(n_1,r_1,H_1)*X+Y_2*η(n_2,r_2,H_2)*X-X*Z\n",
    "show(f(n_1,r_1))\n",
    "show(f(n_2,r_2))\n",
    "show(η(n_1,r_1, H_1))\n",
    "show(η(n_2,r_2, H_2))\n",
    "show(de1)\n",
    "show(de2)\n",
    "show(de3)"
   ]
  },
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   "execution_count": 58,
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    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-{\\left(2 \\, n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 2\\right)} g_{1} r_{2} {\\left(\\frac{\\beta_{12} n_{1} + n_{1}}{W_{1}} - 1\\right)} + {\\left(n_{1} r_{1} t_{h_{1}} + 2 \\, n_{2} r_{2} t_{h_{2}} + 2\\right)} g_{2} r_{1} {\\left(\\frac{\\beta_{21} n_{2} + n_{2}}{W_{2}} - 1\\right)}</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-{\\left(2 \\, n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 2\\right)} g_{1} r_{2} {\\left(\\frac{\\beta_{12} n_{1} + n_{1}}{W_{1}} - 1\\right)} + {\\left(n_{1} r_{1} t_{h_{1}} + 2 \\, n_{2} r_{2} t_{h_{2}} + 2\\right)} g_{2} r_{1} {\\left(\\frac{\\beta_{21} n_{2} + n_{2}}{W_{2}} - 1\\right)}$$"
      ],
      "text/plain": [
       "-(2*n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 2)*g_1*r_2*((beta_12*n_1 + n_1)/W_1 - 1) + (n_1*r_1*t_h_1 + 2*n_2*r_2*t_h_2 + 2)*g_2*r_1*((beta_21*n_2 + n_2)/W_2 - 1)"
      ]
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    {
     "data": {
      "text/html": [
       "<html><script type=\"math/tex; mode=display\">\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{Y_{1} n_{1} r_{1} {\\left(\\frac{n_{1} r_{1}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{1}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}} - \\frac{Y_{2} n_{2} r_{2} {\\left(\\frac{n_{2} r_{2}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{2}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}} - Z</script></html>"
      ],
      "text/latex": [
       "$$\\newcommand{\\Bold}[1]{\\mathbf{#1}}-\\frac{Y_{1} n_{1} r_{1} {\\left(\\frac{n_{1} r_{1}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{1}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}} - \\frac{Y_{2} n_{2} r_{2} {\\left(\\frac{n_{2} r_{2}}{{\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)} H_{2}} - 4\\right)}}{4 \\, {\\left(n_{1} r_{1} t_{h_{1}} + n_{2} r_{2} t_{h_{2}} + 1\\right)}} - Z$$"
      ],
      "text/plain": [
       "-1/4*Y_1*n_1*r_1*(n_1*r_1/((n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)*H_1) - 4)/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1) - 1/4*Y_2*n_2*r_2*(n_2*r_2/((n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1)*H_2) - 4)/(n_1*r_1*t_h_1 + n_2*r_2*t_h_2 + 1) - Z"
      ]
     },
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    }
   ],
   "source": [
    "var(\"n_1 n_2 X W_1 W_2 r_1 r_2 Y_1 Y_2 t_h_1 t_h_2 g_1 g_2 beta_12 beta_21 Z H_1 H_2 t\")\n",
    "f(n,r)=(n*r)/(1+t_h_1*n_1*r_1+t_h_2*n_2*r_2)\n",
    "η(n,r,H)=f(n,r)*(1-(f(n,r))/(4*H))\n",
    "f1 =  (2+2*t_h_1*r_1*n_1+t_h_2*r_2*n_2)*g_1*r_2*(1-(n_1+beta_12*n_1)/(W_1))-((2+t_h_1*r_1*n_1+2*t_h_2*r_2*n_2)*g_2*r_1*(1-(n_2+beta_21*n_2)/(W_2)))\n",
    "f2 =  Y_1*η(n_1,r_1,H_1)+Y_2*η(n_2,r_2,H_2)-Z\n",
    "show(f1)\n",
    "show(f2)"
   ]
  },
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    {
     "data": {
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\n",
      "text/plain": [
       "Graphics object consisting of 1 graphics primitive"
      ]
     },
     "execution_count": 164,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_vector_field((de1(r_1=0.0001, r_2=0.0005, t_h_1=1/16, t_h_2=1/160, g_1=0.01, beta_12=0.1,W_1=10000,H_1=8,Y_2=0.00006,Z=0.0002,W_2=100000,X=0),de2(r_1=0.0001, r_2=0.0005, t_h_1=1/16, t_h_2=1/160, W_2=100000, g_2=0.003, beta_21=10,H_2=80,X=0)),(n_1,0,10000),(n_2,0,100000))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "SageMath 9.3",
   "language": "sage",
   "name": "sagemath"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}