Backward Bifurcation in Epidemic Models of Toxoplasma gondii: A Qualitative Analysis

Ayoade, Abayomi Ayotunde; Agunbiade, S. A.; Oyedepo, Taiye

doi:10.3126/jnms.v5i1.47369

Cited by 2 publications

(2 citation statements)

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“…A parameter is said to be sensitive if a little change in its value results in a significant change in how the differential equations are solved. To study a change in the model's solution with regard to a certain parameter, the derivative of the solution for the parameter is utilized [12]. We compute the sensitivity indices of the key parameters following the normalised forward sensitivity index approach [9] thus…”

Section: Sensitivity Analysismentioning

confidence: 99%

“…Infection is symptomatic if the symptoms of the disease have been fully developed in the infected individuals. At this stage, the infected individual is fully infectious [13]. Since Lassa fever does not spread from asymptomatic humans [36], mortality from the disease can be averted and the spread of the virus can be curtailed if the infection is detected at the asymptomatic stage and the infected individuals are promptly isolated for treatments.…”

Section: Introductionmentioning

confidence: 99%

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An epidemic model for control and possible elimination of Lassa fever

2023

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Lassa fever is a deadly viral disease whose incubation period ranges from six to twenty-one days and about eighty percent of Lassa virus infection is asymptomatic. A deterministic model was formulated to quantify the transmission dynamics of the disease under isolation and treatment of the isolated asymptomatic and symptomatic humans for effective management and possible elimination of the disease. The solutions of the model were shown to be positive and bounded. Equilibrium analysis was conducted and both the disease-free and the endemic equilibria were derived. The threshold quantity for disease elimination , $R_{0}$ , was also obtained and used to derive conditions for the existence of stability of the eqilibria. The quantity was also employed to examine the sensitivity of the model parameters to disease propagation and reduction. The theoretical analysis was then complemented with the quantitative analysis by adopting a set of realistic values for the model parameters in order to show the effect of isolation and treatment on the spread and fatality of Lassa fever. Results from the quantitative study showed that death and infection from Lassa fever fell continuously as more and more exposed individuals were detected and isolated for treatment. The study therefore suggested that any measure taken to eradicate or curtail Lassa fever spread should include detection and isolation of the exposed humans for prompt treatments.

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Section: Sensitivity Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%