Article Contents
Article Contents

# Analyzing the causes of alpine meadow degradation and the efficiency of restoration strategies through a mathematical modelling exercise

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Mathematics Subject Classification: Primary: 34D23; Secondary: 92D25.

 Citation:

• Figure 1.  The stability regions of equilibria in the $C-A$ plane.

Figure 2.  Bifurcation diagrams of Model (2) showing the globally stable equilibria only. Left: $C< \theta K$; Middle: $\theta K<C<K$; Right: $C>K$.

Table 1.  Variation of coordinates $x^{*}, y^{*}, z^{*}, u^{*}$ of $E_{5}$ and values of $A$, $\theta$ when one of the parameters $d_{1}, r, K, d_{3}, d_{4}, q$ increases (all other parameters are fixed).

 Parameter $d_{1}$ $r$ $K$ $d_{3}$ $d_{4}$ $q$ $x^{*}$ $-$ $-$ $-$ $\nearrow$ $-$ $-$ $y^{*}$ $-$ $-$ $-$ $-$ $\nearrow$ $\searrow$ $z^{*}$ $\searrow$ $-$ $-$ $-$ $\nearrow$ $\searrow$ $u^{*}$ $-$ $\nearrow$ $\nearrow$ $\searrow$ $\searrow$ $\nearrow$ $A$ $\nearrow$ $-$ $-$ $-$ $-$ $-$ $\theta$ $-$ $\nearrow$ $-$ $\searrow$ $-$ $-$
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