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Goats do not get colds really - they get pneumonia or allergy-

Typically with a colored nasal discharge, you are looking at pneumonia. Click here for article.

 Major Causes of Pneumonia:
The 3 main causative agents of pneumonia are: Bacterial, Viral and Parasitic.
High humidity, close conditions, drastic change in weather conditions, change in environment,feed, or kidding (Sometimes referred to as shipping stress),  inadequate ventilation and dusty damp bedding are some of the most common antagonists for the beginning of pneumonia.

Most Common Clinical Signs of Pneumonia:
1. Weight loss
2. Cough
3. Nasal Discharge
4. Fever present sometimes not always
5. Raspy breathing
6. Difficult breathing
7. Anorexia
8. Scours
Treatment Choices:
Do not delay in treatment, early detection and treatment ease the seriousness of pneumonia greatly.
Different medications will work on different types of pneumonia. If you have not had a diagnosis by a Veterinarian, and are treating yourself- expect some improvement by the second full day of treatment. If you do not see this improvement, I would change the medication choice for treatment.

 See suggested medications  Tylan 200    Naxcel

Read this too, it is very good:

 PNEUMONIA  http://www.tennesseemeatgoats.com/articles2/pneumonia06.html