Avian Medicine for Pet Birds — Disease Diagnosis and Treatment.
Literal
Pet-birds [possessive-の] medicine — disease [possessive-の] diagnosis [and-と] its treatment.
A book title using the em-dash to separate the main title from the subtitle. 飼鳥 (pet/caged birds) is a specific compound. The structure is entirely nominal — no verb, as is standard for titles. そのtreatment (その治療) uses the demonstrative そ to refer back to the diseases.