Ehrlichiosis is a nationally notifiable disease in the United States and the prevalence of this disease, as with other tick-borne diseases, has been increasing since at least the year 2000. One aspect that has likely contributed to the increase in the prevalence of this disease is rising temperatures due to climate change. A promising method for control of tick populations is prescribed burning. In this study, we develop a detailed compartmental mathematical model for assessing the effect of rising temperatures on Amblyomma americanum populations in endemic and invasion scenarios. The model, which takes the form of an impulsive system of ordinary differential equations, is used to investigate the effects of prescribed burning on infectious ticks to determine if prescribed fire remains effective as temperatures increase under endemic and invasion scenarios. This study shows that, in the absence of prescribed fires, (a) as temperature increases, there are significant increases in the number of infectious questing nymphs and adults. (b) Ehrlichiosis becomes established in the questing nymph and adult tick populations quicker in an invasion scenario as temperature increases. In the presence of prescribed burning, however, our results showed a reduction in the prevalence of infectious questing nymphs and adults. These results with prescribed burning hold regardless of increases in temperature. Thus, this study shows that prescribed burning is an effective control method for Amblyomma americanum even in the presence of increasing temperatures (in the range 2 \degree C to 4 \degree C).