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Figure 2 | Advances in Difference Equations

Figure 2

From: Effects of prolactin on bone remodeling process with parathyroid hormone supplement: an impulsive mathematical model

Figure 2

Numerical simulation of equations (3a)-(3d). The solution trajectory is bounded within a positive range as time passes. Here, all parameters are chosen to satisfy the conditions in Theorem 5.1. Here, \({c_{1}}=0.5\), \({c_{2}}=0.9\), \({c_{3}}=0.35\), \({c_{4}}=0.9\), \({d_{1}}=0.95\), \({d_{2}}=0.05\), \({d_{3}}=0.5\), \({k_{1}}=1.2\), \({k_{2}}=0.95\), \({k_{3}}=0.9\), \({k_{4}}=3.9\), \(\mu=0.9\), \(\rho=0.1\), \(T=5\), \(y(0)=0.1\), and \(z(0)=2\). \((a)\) The solution trajectory projected on \((y,z)\)-plane. \((b)\) The corresponding time course of the number of active osteoclasts \((y)\) and \((c)\) the corresponding time course of the number of active osteoblasts \((z)\).

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