The objective of this study is to perform an analysis on the effect of the increase in temperature under the context of climate change on the dynamics of a population of ectothermic organisms, which are highly susceptible to these changes, as their body temperatures depend crucially on the environmental temperature. In our modelling approach, population abundance is governed by a logistic growth, where the intrinsic growth rate is affected by the change in temperature. The relationship between environmental temperature and the intrinsic rate of increase will be represented by a thermal performance curve type. In order to facilitate analytical simplicity but also novelty, a cubic expression is proposed to represent the thermal performance curve, the intensity of intraspecific competition is considered to remain constant and the tendency of temperature increase follows a linear expression. Finally, consequences on the trends of population abundance curves are assessed.