TY  - JOUR
T1  - Stability analysis of infectious diseases model in a dynamic population
AU  - Akinyemi, Joseph A.
AU  - Adeniyi, Micheal O.
AU  - Chukwu, Angela U.
PY  - 2018
DA  - December
JF  - Communication in Mathematical Modeling and Applications
JO  - CMMA
PB  - Mustafa BAYRAM
WT  - DergiPark
SN  - 2528-830X
SP  - 37
EP  - 43
VL  - 3
IS  - 3
LA  - en
AB  - The stability analysis of infectious disease model in a dynamic population is studied.The recruitment rate into the susceptiblepopulation is introduced since the population is dynamic thereby allowing a varying pouplation as a result of migration and birth.Themodel exhibited two equilibria: the disease free and endemic. The local stability of the model is asymptotically stable when R0 < 1 andunstable when R0 > 1. The global stability analysis of the disease free shows that the system is globally stable when the first derivativeof Lyapunov function is negative.
KW  - Basic Reproduction Number
KW  - dynamic population
KW  - asymptotically stable
KW  - Lyapunov function
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UR  - https://dergipark.org.tr/en/pub/cmma/issue//509727
L1  - https://dergipark.org.tr/en/download/article-file/621234
ER  -