1$. The technical tool used for our analysis is the theory of competitive systems, compound matrices and stability of periodic orbits. Finally, we investigate, numerically, the inﬂuence of seasonal variation on the control of cholera.]]>
1$ for $1\leq j \leq n.$ If the rational function $r(z)\neq 0$ in $|z|< k$, then for $k =1$, it is known that $$\left|r(Rz)\right|\leq \left(\frac{\left|B(Rz)\right|+1}{2}\right) \underset{|z|=1}\sup|r(z)|\,\,\, for \,\,\,|z|=1$$ where $ B(z)= \prod_{j=1}^{n}\left\{(1-\bar{a_{j}}z)/(z-a_{j})\right\}$. In this paper, we consider the case $k \geq 1$ and obtain certain results concerning the growth of the maximum modulus of the rational functions with prescribed poles and restricted zeros in the Chebyshev norm on the unit circle in the complex plane.]]>
1. Results from sensitivity analysis reveals that rat biting rate for infectious house rats RFH and infectious bush rats R_FB, transmission probability per contact with infectious house and bush rats (R_FH and R_FB), human recruitment rate and transmission probability per contact with infectious human hosts are highly significant in determining the severity of lassa infection. On the other hand, natural death rate of rats, natural death rate of human hosts, recovery and hospitalization rates of human hosts are critical for lassa transmission reduction. Plans that target the contact rate between house and bush rats (i.e use of indoor residual spray, fumigation of environment with pesticide) and those that target recovery rate of human hosts (i.e treatment of infectious human hosts) are recommended to control the disease.]]>
}$ ttable (1,668). Conclusion: It can be concluded that the use of guided discovery learning models has an effect on students' critical thinking skills with the use of syntax involving students to actively think at a high level to hone their critical thinking skills.]]>
$ t$_ {\text{table}} $ 2,66. Based on the result obtained that STEM integrated guided inquiry model that can improve literacy science skills compared to conventional model]]>
\lambda^{*}$; then, the only solution to the$p$-Kirchhoff problem is the zero function. In fact, $\lambda^{*}$ can be characterized in terms of the best constant of Sobolev embeddings. We also study the asymptotic behavior of the solutions when $\lambda\downarrow 0$]]>