Mathematical Model for the Dynamics of Paragonimiasis Disease in Human, Snail, and Crustacean Populations
DOI:
https://doi.org/10.62054/ijdm/0101.08Abstract
This paper proposes a mathematical model for the dynamics of Paragonimiasis transmission in human, snail, and crustacean populations. We proved that the solutions to the differential equations are both positive and bounded. In addition, we calculated the equilibrium states of Paragonimiasis in both its free and present forms. We computed the basic reproduction number using the next-generation matrix. Furthermore, we used the Routh-Hurwitz criteria to determine local stability, which revealed that the system is locally asymptotically stable (LAS). Similarly, we assessed the global stability of the disease-free equilibrium and found that the system is globally asymptotically stable (GAS). To better understand the dynamics of Paragonimiasis transmission, we carried out sensitivity index analyses and computational simulations. Our data show varied indices of rise and decline as parameters are changed.
Asymptptically stable, Dynamics, Endemic equilibrium, Reproduction number, Transmission
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