Vol. 5 No. 2 (2022)

During the process of immune response to the infection caused by dengue virus, antibodies are generated by plasma cells which are produced by B-cells. In some cases, it is observed that there is a delay in the production of plasma cells from B-cells which causes a delay in the immune response. We propose a SIVA within-host model of the virus transmission with delayed immune response to articulate the dynamics of the cell and virus population. The stability analysis of different equilibrium states is also studied. The basic reproduction number (BRN) of the model is computed using next…

A fractional-order food chain model is proposed in this article. The model is built by prey, intermediate predator, and omnivore. It is assumed that intermediate predator only eat prey and omnivore can consume prey and intermediate predator. But, prey has the ability called as anti-predator behavior to escape from both predators. For the first discussion, it is found that all solutions are existential, uniqueness, boundedness, and non-negative. Further, we analyze the existence condition and local stability of all points, that is point for the extinction of all populations, both predators,…

A mathematical model has become a useful tool to predict and control dengue fever dynamics. In reality, the dynamic of dengue fever transmission can be disturbed by uncertainty measurements, so it is needed to consider the disturbance in the model. Then, dengue fever model with disturbance is constructed by using a gain matrix consisting a covariance matrix and random vector. As dengue vaccine has been challenging to reduce the pandemic, a dengue model with vaccination as control is constructed. The aim is to propose a feedback controller that can reduces the infected human (H2 control…

Trigona sp. is a stingless bee species that is widely distributed in tropical countries. It has castes in thecolony, i.e. queen, worker, and male bee. Despite its size, Trigona sp. can produce high-quality commoditiessuch as honey, propolis, and bee pollen. However, it is a vulnerable species since it’s pretty easy to be predatedby several predators and has a relatively short lifespan. In addition, there are still few mathematical studiesthat discuss the population dynamics of Trigona sp. Thus, in this study, we construct a mathematical modelof the Trigona sp. population in the form of a…

This article considers a discrete-time model of two genetically distinguished predator population and one prey population. The existence and nature of the boundary and positive fixed points are examined. The sufficient criterion for Neimark-Sacker bifurcation (NSB) is derived. It is observed that the system behaves in a chaotic way when a specific set of system parameters is selected, which are controlled by a hybrid control method. Examples are presented to illustrate our conclusions.