Hc doc page fixes

Author: TorkelE

docs/src/catalyst_applications/homotopy_continuation.md

@@ -12,7 +12,7 @@ integer Hill exponents). The roots of these can reliably be found through a
 Catalyst contains a special homotopy continuation extension that is loaded whenever HomotopyContinuation.jl is. This exports a single function, `hc_steady_states`, that can be used to find the steady states of any `ReactionSystem` structure. If you use this in your research, please [cite the HomotopyContinuation.jl](@ref homotopy_continuation_citation) and [Catalyst.jl]() publications.
 
 ## Basic example
-For this tutorial, we will use a model from Wilhem (2009)[^1] (which
+For this tutorial, we will use a model from Wilhelm (2009)[^1] (which
 demonstrates bistability in a small chemical reaction network). We declare the
 model and the parameter set for which we want to find the steady states:
 ```@example hc1
@@ -54,8 +54,7 @@ Catalyst allows the conservation laws of such systems to be computed using the `
 ```@example hc3
 ps = [:k1 => 2.0, :k2 => 1.0]
 u0 = [:X1 => 1.0, :X2 => 1.0]
-hc_steady_states(wilhelm_2009_model, ps; u0)
-
+hc_steady_states(two_state_model, ps; u0)
 ```
 
 ## Final notes
@@ -80,5 +79,5 @@ If you use this functionality in your research, please cite the following paper
 ## References
 [^1]: [Thomas Wilhelm, *The smallest chemical reaction system with bistability*, BMC Systems Biology (2009).](https://bmcsystbiol.biomedcentral.com/articles/10.1186/1752-0509-3-90)
 [^2]: [Paul Breiding, Sascha Timme, *HomotopyContinuation.jl: A Package for Homotopy Continuation in Julia*, International Congress on Mathematical Software (2018).](https://link.springer.com/chapter/10.1007/978-3-319-96418-8_54)
-[^3:] [Andrew J Sommese, Charles W Wampler *The Numerical Solution of Systems of Polynomials Arising in Engineering and Science*, World Scientific (2005).](https://www.worldscientific.com/worldscibooks/10.1142/5763#t=aboutBook)
-[^4:] [Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile, *Numerical Nonlinear Algebra*, arXiv (2023).](https://arxiv.org/abs/2302.08585)
+[^3]: [Andrew J Sommese, Charles W Wampler *The Numerical Solution of Systems of Polynomials Arising in Engineering and Science*, World Scientific (2005).](https://www.worldscientific.com/worldscibooks/10.1142/5763#t=aboutBook)
+[^4]: [Daniel J. Bates, Paul Breiding, Tianran Chen, Jonathan D. Hauenstein, Anton Leykin, Frank Sottile, *Numerical Nonlinear Algebra*, arXiv (2023).](https://arxiv.org/abs/2302.08585)