Endemic Equilibrium of Feline Leukemia Virus

Abstract

Feline Leukemia Virus impairs the immune system of cats, and as a result of the immunosuppression characteristic of the virus, infected cats are under a greater risk for developing serious diseases like lymphomas, leukemia, severe erythroid hypoplasia and anemia. The compartmental model denoted by SI_1 I_2 based on the epidemiological model Susceptible-Infected (SI) is used to investigate the endemic equilibrium of the disease for stray cats without vaccination and treatment. The conditions for parameters are obtained such that the final value of infected cats' population is higher than the final value of susceptible cats.

Keywords

• Epidemic models
• Susceptible-Infected model
• Feline Leukemia Virus
• Endemic equilibrium

Kedi Lösemi Virüsünde Endemik Denge

Öz

Felin Lösemi Virüsü kedilerin bağışıklık sistemini zayıflatan bir virüstür ve virüsün bağışıklık sistemini baskılayan yapısı nedeniyle, virüsle enfekte olmuş kediler lenfoma, lösemi, ağır eritroid hipoplazi ve anemi gibi ciddi hastalıkların ortaya çıkması riskini daha fazla taşırlar. Duyarlı-Enfekte (SI) epidemik modeline dayalı SI_1 I_2 kompartıman modeli, aşılama ve tedavinin olmadığı durumlarda, sokak kedileri için hastalığın endemik dengesini incelemek üzere kullanılmıştır. Hastalıklı kedi popülasyonunun duyarlı kedilerin final değerinden daha büyük olduğu parametre koşulları elde edilmiştir.

Anahtar Kelimeler

• Epidemik modeller
• Duyarlı-Enfekte modeli
• Felin Lösemi Virüsü
• Endemik denge

Kaynakça

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