TY  - JOUR
T1  - Mathematical Modeling of the Transmission Dynamics of Fowl Pox in Poultry
AU - Sunda, Udofia Ekere AU - Chioma, Inyama Simeon 
JO  - Journal of Modern Mathematics and Statistics
VL  - 5
IS  - 5
SP  - 106
EP  - 111
PY  - 2011
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2011.106.111
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2011.106.111
KW  - Fowl pox
KW  -poultry
KW  -birds
KW  -mosquitoes
KW  -exposed birds
KW  -Nigeria
AB  - In this study, researchers present two models that examine the transmission dynamics of fowl pox among birds based on the mode of transmission of the disease in poultry. Using methods from dynamical systems theory equilibrium analysis of the first model showed that the disease free equilibrium is stable if &#945; N &lt;(d<SUB>1</SUB>+&#956;+r<SUB>1</SUB>), &#946;&lt;&#947;. The endemic equilibrium is asymptotically stable if &#946;-&#947;&lt;&#945; (d<SUB>1</SUB>+&#956;+r<SUB>1</SUB>)/k. That is, fowl pox will not invade the poultry if the rate at which the susceptible birds (&#946;) are introduced into the poultry is greater than the rate at which the susceptible birds become exposed to infection (&#947;). It was also established that R<SUB>0</SUB>&lt;1 if S<SUB>0</SUB>&gt;Sc where S<SUB>c</SUB> = (d<SUB>1</SUB>+&#956;+r<SUB>1</SUB>)/&#945; and R<SUB>0</SUB> = &#947; S<SUB>0</SUB>/(d<SUB>1</SUB>+&#956;+r<SUB>1</SUB>). The second model is stable if the rate at which the infected birds recover and the rate at which mosquitoes die are high. Also if the growth rate of mosquito is less than the death rate of mosquito.
ER  -