<p>In this paper, we establish and study a malaria-transmission dynamic model of releasing sterile mosquitoes, which focuses on the mosquito populations affected by the impact of limited resources. First, we formulate a dynamic model with mosquitoes where the releasing rate of sterile mosquitoes is constant, and analyze the existence and stability of the equilibrium. Using the stability theory and method of differential equations, the threshold value of releasing sterile mosquitoes is obtained. Furthermore, we establish a malaria-transmission dynamic model with sterile release, and derive a formula for the reproductive number of infection and investigate the existence of endemic equilibria. With the symmetry of mathematical expression, it is also shown that this model may undergo backward bifurcation, where the locally stable disease-free equilibrium coexists with an endemic equilibrium. Finally, numerical simulations to illustrate our findings and brief discussions are provided.</p>