https://journal.nsps.org.ng/index.php/jnsps/issue/feed Journal of the Nigerian Society of Physical Sciences 2021-03-07T08:32:03-05:00 Babatunde James Falaye (Ph.D.) editor-in-chief@journal.nsps.org.ng Open Journal Systems <p>Journal of the Nigerian Society of Physical Sciences is a peer-reviewed journal published quarterly (February, May, August &amp; November) by the Nigerian Society of Physical Sciences. It offers an exciting publication outlet for Physical Science reports.</p> https://journal.nsps.org.ng/index.php/jnsps/article/view/109 Analysis of an HIV - HCV simultaneous infection model with time delay 2021-03-07T08:32:03-05:00 Adamu Shitu Hassan hashitu.mth@buk.edu.ng Nafiu Hussaini nhussaini.mth@buk.edu.ng <p>A novel mathematical delay model for simultaneous infection of HIV and hepatitis C virus is formulated and dynamically analyzed. Basic properties of the model are established and proved. Basic reproductive threshold is systematically calculated as the maximum of three subthreshold parameters. A disease free equilibrium is determined to be globally asymptotically stable for all values of the delay when the threshold is less than unity. However, when the threshold is greater than one, endemic equilibrium emerged which is shown to be locally asymptotically stable for any length of delay. Although the delay has no effect on stabilities of equilibria points, however, it is found to reduce the infectivity of the viruses as the length of the delay is increased. Epidemiological interpretations of the results and numerical simulations illustrating them are given.</p> 2021-02-16T00:00:00-05:00 Copyright (c) 2021 Journal of the Nigerian Society of Physical Sciences https://journal.nsps.org.ng/index.php/jnsps/article/view/148 Simple motion pursuit differential game problem of many players with integral and geometric constraints on controls function. 2021-02-28T07:46:30-05:00 Jamilu Adamu jamiluadamu88@gmail.com B. M. Abdulhamid mbabdulhamid67@atbu.edu.ng D. T. Gbande do-not-reply@journal.jnsps.org.ng A. S. Halliru do-not-reply@journal.jnsps.org.ng <p>We study a simple motion pursuit differential game of many pursuers and one evader in a Hilbert space $l_{2}$. The control functions of the pursuers and evader are subject to integral and geometric constraints respectively. Duration of the game is denoted by positive number $\theta$. Pursuit is said to be completed if there exist strategies $u_{j}$ of the pursuers $P_{j}$ such that for any admissible control $v(\cdot)$ of the evader $E$ the inequality $\|y(\tau)-x_{j}(\tau)\|\leq l_{j}$ is satisfied for some $j\in \{1,2, \dots\}$ and some time $\tau$. In this paper, sufficient conditions for completion of pursuit were obtained. Consequently strategies of the pursuers that ensure completion of pursuit are constructed.</p> 2021-02-18T00:00:00-05:00 Copyright (c) 2021 Journal of the Nigerian Society of Physical Sciences https://journal.nsps.org.ng/index.php/jnsps/article/view/141 Dynamics of Toxoplasmosis Disease in Cats population with vaccination 2021-02-28T07:46:30-05:00 Idris Babaji Muhammad idris4u88@yahoo.com Salisu Usaini salisu.usaini@kustwudil.edu.ng <p>We extend the deterministic model for the dynamics of toxoplasmosis proposed by Arenas <em>et al.</em> in 2010, by separating vaccinated and recovered classes. The model exhibits two equilibrium points, the disease-free and endemic steady states. These points are both locally and globally stable asymptotically when the threshold parameter R<sub>v</sub> is less than and greater than unity, respectively. The sensitivity analysis of the model parameters reveals that the vaccination parameter $\pi$ is more sensitive to changes than any other parameter. Indeed, as expected the numerical simulations reveal that the higher the vaccination rate of susceptible individuals the smaller the value of the threshold R<sub>v</sub> (i.e., increase in $\pi$ results in the decrease in R<sub>v</sub> , leading to the eradication of toxoplasmosis in cats population.</p> 2021-02-18T00:00:00-05:00 Copyright (c) 2021 Journal of the Nigerian Society of Physical Sciences https://journal.nsps.org.ng/index.php/jnsps/article/view/140 Efficient Hybrid Block Method For The Numerical Solution Of Second-order Partial Differential Problems via the Method of Lines 2021-02-28T07:46:28-05:00 Olumide O. Olaiya olaiyaolumide.o@gmail.com Rasaq A. Azeez rasopadokun@yahoo.com Mark I. Modebei gmarc.ify@gmail.com <p>This study is therefore aimed at developing classes of efficient numerical integration schemes, for direct solution of second-order Partial Differential Equations (PDEs) with the aid of the method of lines. The power series polynomials were used as basis functions for trial solutions in the derivation of the proposed schemes via collocation and interpolation techniques at some appropriately chosen grid and off-grid points the derived<br>schemes are consistent, zero-stable and convergent. the proposed methods perform better in terms of accuracy than some existing methods in the literature.</p> 2021-02-25T00:00:00-05:00 Copyright (c) 2021 Journal of the Nigerian Society of Physical Sciences https://journal.nsps.org.ng/index.php/jnsps/article/view/132 Velocity distribution of 43Ca+ion cloud in the low temperature limit in a quadrupole Penning Trap 2021-02-28T07:46:29-05:00 Dyavappa B M dyavappabm@gmail.com <p style="margin-bottom: 0cm; line-height: 150%;" align="justify"><span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">Penning trap has electric field created by DC voltage applied between ring and end cap electrodes and magnetic field is applied along symmetry axis, as the electric field confines ions in the axial direction through an electric potential minimum and the magnetic field confines the ions in the radial direction. </span></span></span><span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">The trapping potential created by the </span></span></span><span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">DC</span></span></span><span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;"> voltage applied between the end cap and ring electrodes in the low temperature limit is cancelled by Coulomb interaction of ions and the total energy is mainly kinetic energy of ions. The velocity distribution of </span></span></span><span style="color: #000000;"><sup><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">43</span></span></sup></span>Ca<sup>+</sup> <span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">ions along axial direction, in radial plane and total velocity distribution due to resulting motion of both axial and radial motion of ions in low temperature limit in a Quadrupole Penning trap are presented here. These results reveal the properties of </span></span></span><span style="color: #000000;"><sup><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">43</span></span></sup></span>Ca<sup>+</sup> <span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">ion cloud and are useful to study confining techniques for different types of ions in low temperature limit and </span></span></span><span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">a qubit can be encoded in the hyperfine ground states of </span></span></span><span style="color: #000000;"><sup><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">43</span></span></sup></span><span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">Ca<sup>+</sup> isotope for ion trap quantum computation</span></span></span><span style="color: #000000;"><span style="font-family: Times New Roman, serif;"><span style="font-size: medium;">.</span></span></span></p> 2021-02-25T00:00:00-05:00 Copyright (c) 2021 Journal of the Nigerian Society of Physical Sciences https://journal.nsps.org.ng/index.php/jnsps/article/view/150 An Order Four Continuous Numerical Method for Solving General Second Order Ordinary Differential Equations 2021-02-28T07:46:29-05:00 Friday Obarhua obarhuafo@futa.edu.ng Oluwasemire John Adegboro adegboroakinola@gmail.com <p>Continuous hybrid methods are now recognized as efficient numerical methods for problems whose solutions have finite domains or cannot be solved analytically. In this work, the continuous hybrid numerical method for the solution of general second order initial value problems of ordinary differential equations is considered. The method of collocation of the differential system arising from the approximate solution to the problem is adopted using the power series as a basis function. The method is zero stable, consistent, convergent. It is suitable for both non-stiff and mildly-stiff problems and results were found to compete favorably with the existing methods in terms of accuracy.</p> 2021-02-25T00:00:00-05:00 Copyright (c) 2021 Journal of the Nigerian Society of Physical Sciences