The Dynamics of a Discrete Fractional-Order Logistic Growth Model with Infectious Disease
نویسندگان
چکیده
In this paper, we study the dynamics of a discrete fractional-order logistic growth model with infectious disease. We obtain by applying piecewise constant arguments to model. This contains three fixed points namely origin point, disease-free and endemic point. confirm that point is always exists unstable, conditionally stable, stable. also investigate existence forward, period-doubling, Neimark-Sacker bifurcation. The numerical simulations are presented analytical results. show numerically period-3 solution which leads occurrence chaotic behavior.
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ژورنال
عنوان ژورنال: Contemporary Mathematics and Applications (ConMathA)
سال: 2021
ISSN: ['2686-5564']
DOI: https://doi.org/10.20473/conmatha.v3i1.26938