Thanks  a lot for your wonderful reply. So would you like to enlighten me how
to write R-coding for that parameter estimation for a couple of models?

Suppose that I have the data of the development rate of an insect on
different temperature regimes. I would like to find the parameters of those
models and I would like to know which model is the best fitted to my data.
The models I am going to use in my analysis are
1) Lactin 1 (Lactin et al. (1995)
2) Lactin 2 (Lactin et al. (1995)
3) Longan 6 (Logan et al. (1976)

#Suppose: the mean development times (day) of egg stage at different
temperature regimes (12.5, 15, 17.5, 20, 22.5, 25, 27.5, 30, 32.5, 35
degree) are 17.82, 14.44, 9.94, 7.23, 4.57, 3.61, 3.00, 2.04, 2.01, 2.00
days. There will be other data for other life stages. Now please show me a
way how to do for my problem with above example.

Sorry for not being able to write the models here because of difficult to
write for me. I hope you could help me for my experiment.
I have no words to express my sincere thanks to you all. I will really enjoy
your kindness. Thank you so much indeed.
Sincerely,
Myo 

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