Yahya Abu Hasan

Optimal Control of Plasmodium knowlesi Malaria in Human and Macaques

Aims: To investigate the optimal control strategy for Plasmodium knowlesi malaria in humans and macaques. Methodology: A Plasmodium knowlesi malaria model was developed using a deterministic system of differential equation and extended to include an optimal control of the disease. The optimal control model was analysis dynamically and numerically. Results: if the cost of biological control against the mosquito Larvae, the forest dwelling mosquitoes and chemical control against the adult mosquitoes is more than cost of treatment of the infected human, we observed that the control strategy yields increase in susceptible humans, decrease in the infected humans, infected macaques and mosquito population. This is one of the best strategies but treatment is very important for total elimination of Plasmodium knowlesi malaria in a community. Conclusion: Numerical simulations of the problem, suggest that applying the three control measure can effectively reduce if not eliminate the spread of Plasmodium knowlesi malaria in a community.

Fuzzy preference-based multi-objective optimization method

Multiobjective evolutionary computation is still quite young and there are many open research problems. This paper is an attempt to design a hybridized Multiobjective Evolutionary Optimization Algorithm with fuzzy logic called Fuzzy Preference-Based Multi–Objective Optimization Method (FPMOM). FPMOM as an integrated components of Multiobjective Optimization Technique, Evolutionary Algorithm and Fuzzy Inference System able to search and filter the pareto-optimal and provide a good trade-off solution for the multiobjective problem using fuzzy inference method to choose the user intuitive based specific trade-off requirement. This paper will provide a new insight into the behaviourism of interactive Multiobjective Evolutionary Algorithm optimization problems using fuzzy inference method.

Optimal strategy for controlling the spread of Plasmodium Knowlesi malaria: Treatment and culling

Plasmodium Knowlesi malaria is a parasitic mosquito-borne disease caused by a eukaryotic protist of genus Plasmodium Knowlesi transmitted by mosquito, Anopheles leucosphyrus to human and macaques. We developed and analyzed a deterministic Mathematical model for the transmission of Plasmodium Knowlesi malaria in human and macaques. The optimal control theory is applied to investigate optimal strategies for controlling the spread of Plasmodium Knowlesi malaria using treatment and culling as control strategies. The conditions for optimal control of the Plasmodium Knowlesi malaria are derived using Pontryagin’s Maximum Principle. Finally, numerical simulations suggested that the combination of the control strategies is the best way to control the disease in any community.

Interaction of two pulsating solitons with a discrete time separation in complex cubic-quintic Ginzburg-Landau equation

In this paper, we consider the attracting and repelling behaviour in the propagation of two pulsating solitons in a dissipative system with a discrete time separation, described by the complex cubic-quintic Ginzburg-Landau equation (ccqGLE). After we made some modifications on the equation, we solve it numerically by assigning a hyperbolic sine as an initial amplitude profile while the amplitudes of two interacting solitons of the ccqGLE are fixed for a given set of parameters. As a result, the two solitons merged into one after the interaction. We showed that the behaviour of the soliton interaction was mainly determined by the position of the initial conditions. With the choice of parameters at certain time separation, the two solitons can approached and distanced each other. We obtained a bound to the time separation, such that there is no interaction.

Effects the strength of seasonality on persistence and extinction in prey predator models

A model of two competing predators sharing one prey is introduced. In the model, the seasonality in the functional response is investigated. Kolmogorov’s conditions are obtained to validate the values of the parameters. In the numerical simulations, we show the effects of the seasonality strength on the persistence and extinction of predators, the results are supported through the mathematical analysis.

Dynamical behavior of the random field on the pulsating and snaking solitons in cubic-quintic complex Ginzburg-Landau equation

In this paper, we consider the dynamical behaviour of the random field on the pulsating and snaking solitons in a dissipative systems described by the one-dimensional cubic-quintic complex Ginzburg-Landau equation (cqCGLE). The dynamical behaviour of the random filed was simulated by adding a random field to the initial pulse. Then, we solve it numerically by fixing the initial amplitude profile for the pulsating and snaking solitons without losing any generality. In order to create the random field, we choose 0 ≤ e ≤ 1.0. As a result, multiple soliton trains are formed when the random field is applied to a pulse like initial profile for the parameters of the pulsating and snaking solitons. The results also show the effects of varying the random field of the transient energy peaks in pulsating and snaking solitons.

Control of Plasmodium knowlesi malaria

The most significant and efficient measures against Plasmodium knowlesi outbreaks are efficient anti malaria drug, biological control in form of predatory mosquitoes and culling control strategies. In this paper optimal control theory is applied to a system of ordinary differential equation. It describes the disease transmission and Pontryagin’s Maximum Principle is applied for analysis of the control. To this end, three control strategies representing biological control, culling and treatment were incorporated into the disease transmission model. The simulation results show that the implementation of the combination strategy during the epidemic is the most cost-effective strategy for disease transmission.

Breathing solitons for the one-dimensional nonlinear cubic-quintic complex Ginzburg-Landau equation (cqCGLE)

Using one-dimensional nonlinear cubic-quintic complex Ginzburg-Landau equation (cqCGLE), we construct breathing pattern of soliton behaviour with hyperbolic sine and hyperbolic tangent as initial amplitude profile. Breathing pattern of solitons will be discussed in detail during their adjustment phase and self-organization phase. Breathing pattern is observed by means of numerical simulation.

Backward bifurcation and optimal control of Plasmodium Knowlesi malaria

A deterministic model for the transmission dynamics of Plasmodium Knowlesi malaria with direct transmission is developed. The model is analyzed using dynamical system techniques and it shows that the backward bifurcation occurs for some range of parameters. The model is extended to assess the impact of time dependent preventive (biological and chemical control) against the mosquitoes and vaccination for susceptible humans, while treatment for infected humans. The existence of optimal control is established analytically by the use of optimal control theory. Numerical simulations of the problem, suggest that applying the four control measure can effectively reduce if not eliminate the spread of Plasmodium Knowlesi in a community.

Modeling and Optimal Control of Plasmodium Knowlesi Malaria Spread from Infected Humans to Mosquitoes

Malaria as among vector-borne diseases is reemerging in areas where control efforts were once effective and emerging in areas though free of the disease as a consequence of human migration and rapid growth of international traffic from malaria prevalent areas of the world to malaria free zone. In this paper we develop a mathematical model for the spread of Plasmodium knowlesi malaria from infected humans to mosquitoes. The stability