An SIRS Age-Structured Model for Vector-Borne Diseases with Infective Immigrants

Modeling the Impact of Vaccination on Epidemic Disease Variants with Hospitalization: A Case Study for the COVID-19 Pandemic in Turkey

“…In 2016, Al-Asouad et al used the stability analysis of dynamical systems in the analytical examination of mathematical models in the MERS-CoV epidemic and concluded that endemic stability would be ensured by the isolation method to prevent the spread of MERS-CoV. Budhwar and Daniel (2017) used a combination of SEIR and SI models for humans and mosquitoes, respectively, to investigate the stability of the model generated for malaria. With the COVID-19 epidemic, interest in epidemic mathematical models has increased, and many researchers have considered using epidemic mathematical models to predict the future of the epidemic and its effects on society.…”

Dynamics System in the SEIR-SI Model of the Spread of Malaria with Recurrence

“…Research conducted by Mojeeb et al (2017) assumes that cured humans can return to humans susceptible to disease, mosquitoes will never recover, and births occur in infected human subpopulations [11]. Research conducted by Budhwar and Daniel (2017) assumes that the spread of malaria can also occur if there is immigration from infected humans. This occurs when a period of 10 days to 4 weeks from the time of infection to the onset of the actual disease, and humans travel or immigrate within that period [12].…”

“…Research conducted by Budhwar and Daniel (2017) assumes that the spread of malaria can also occur if there is immigration from infected humans. This occurs when a period of 10 days to 4 weeks from the time of infection to the onset of the actual disease, and humans travel or immigrate within that period [12]. Research conducted by Baihaqi and Adi-Kusumo (2020) assumes that the occurrence of recurrence of malaria in the human population raises new variables because humans who recover from malaria infections cause Plasmodium parasites to remain in the human body [13].…”

“…Research conducted by Baihaqi and Adi-Kusumo (2020) assumes that the occurrence of recurrence of malaria in the human population raises new variables because humans who recover from malaria infections cause Plasmodium parasites to remain in the human body [13]. This study analyzes the malaria disease spread model, a modification of the model developed by Budhwar and Daniel (2017). The modification of the model carried out in this study is to assume the parameters of the recovery rate in exposed humans because parasites in the human body experience a dormant condition and the disease recurrence rate in humans who recover because they still have parasites in the body after recovering from active malaria again.…”

Analysis of a malaria transmission mathematical model considering immigration

“…This is thought to be largely due to increased mobility and other consequences of globalization. There are areas which are yet disease free, but their probability of contracting the virus has increased over the years given all these factors [6,18]. Therefore, in this work, we propose a similar mathematical model on the basis of ordinary differential equations (ODE) where people and mosquitoes contact and spread the infection to one another.…”