Anthrax is a fatal disease that affects both human and animal population. Anthrax is transmitted in three modes:inhalation,ingestion and contact. Carcasses from infected animals must be disposed carefully to prevent further transmission. Vaccination has proven to be one method of fighting transmission of anthrax. Constant vaccination of animals periodically can ensure minimal infections. Wen the basic reproductive ratio is less than one, we have disease free equilibrium and the disease can be eradicated from the animals.If greater than one, we have endemic equilibrium and the disease can not be eradicated. Graphics in chapter 4 give illustrations on parameter values used in this book. In chapter 5, we have recommended the book to Ministry of Agriculture and Livestock.