Schistosomiasis Model Incorporating Snail Predator as Biological Control Agent

نویسندگان

چکیده

Schistosomiasis is a parasitic disease caused by the schistosoma worm. A snail can act as intermediate host for parasite. Snail-population control considered to be an effective way schistosomiasis spread. In this paper, we discuss model incorporating predator biological agent. We prove that solutions of are non-negative and bounded. The existence condition equilibrium points investigated. determine basic reproduction number when goes extinction survives. local stability disease-free point proved using linearization, Lienard–Chipart Routh–Hurwitz criteria. use center-manifold theory endemic points. Furthermore, constructed Lyapunov function investigate global To support analytical results, presented some numerical simulation results. Our findings suggest agent reduce prevalence. Moreover, snail-predator birth rate plays essential role in controlling

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ژورنال

عنوان ژورنال: Mathematics

سال: 2021

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math9161858