Analysis of a Nonautonomous Eco-Epidemiological Model with Saturated Predation Rate
نویسندگان
چکیده
منابع مشابه
Mathematical Analysis of Typhoid Model with Saturated Incidence Rate
Typhoid fever is considered one of the communicable disease, it’s infection causes diarrhea and a rash. It is most commonly due to a type of bacterium called Salmonella typhi (S. typhi). In many developing countries this disease is endemic and remains one of the public health problem. In this paper, we consider a mathematical model of the type SEIR (Susceptible, Exposed, Infected and Recovered)...
متن کاملA simple epidemiological model for typhoid with saturated incidence rate and treatment effect
Typhoid fever is a communicable disease, found only in man and occurs due to systemic infection mainly by Salmonella typhi organism. The disease is endemic in many developing countries and remains a substantial public health problem despite recent progress in water and sanitation coverage. Globally, it is estimated that typhoid causes over 16 million cases of illness each year, resulting in ove...
متن کاملThe Dynamics of an Eco-Epidemiological Model with Nonlinear Incidence Rate
This paper treats the dynamical behavior of eco-epidemiological model with nonlinear incidence rate. A Holling type-II prey-predator model with SItype of disease in prey has been proposed and analyzed. The existence, uniqueness, and boundedness of the solution of the system are studied. The local and global dynamical behaviors are investigated. The conditions, which guarantee the occurring of H...
متن کاملA nonautonomous epidemic model with general incidence rate and quarantine
We obtain threshold conditions for eradication and permanence of the disease for a nonautonomous SIRQ model with time-dependent incidence rates, given by functions of all compartments in some general family. The threshold conditions are given by some numbers that play the role of the basic reproduction number. Additionally, we obtain simple threshold conditions in the asymptotically autonomous ...
متن کاملAn immuno-eco-epidemiological model of competition.
This paper introduces a novel immuno-eco-epidemiological model of competition in which one of the species is affected by a pathogen. The infected individuals from species one are structured by time-since-infection and the within-host dynamics of the pathogen and the immune response is also modelled. A novel feature of the model is the impact of the species two numbers on the ability of species ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Applied Mathematics
سال: 2017
ISSN: 2152-7385,2152-7393
DOI: 10.4236/am.2017.82021