## 4 Discussion and Conclusions  
For Asian soybean rust to develop, an interaction between three factors is necessary, the so-called tripod of the disease: host, pathogen, and favorable climatic conditions [33]. This research was used to model the spatiotemporal dynamics of the fungus that causes this disease. Throughout the entire period studied, data from 182 days were obtained. These data were used as input variables for a fuzzy system that more accurately modeled the temporal and spatial development of Asian soybean rust for the state of Mato Grosso [32]. In this research, the controller was correct in his prediction in 81% of the records, and according to another analysis, the accuracy percentage was 92%. Obtaining actual values experimentally to model the terms that make up the differential equation is often unfeasible. The construction of the terms of the equation used in this research considered several nuances that influence the phenomenon based on fuzzy logic. This efficient tool for dealing with subjectivities allowed actual data that are already commonly captured, such as temperature and relative humidity, to bring these coefficients closer to reality, which can be considered an advance. The fuzzy system created for the decay, the vector field that reproduces the interference of traffic in the pathogen dispersion, and the implantation of sources along the highways are examples of how the different variables that act in the studied system were considered. The fuzzy logic that estimates the effect of meteorological variables on mortality rate could be improved through deeper investigation into the impact of agricultural pesticides \begin{table}
\begin{tabular}{l l c c} \hline \hline
**City** & **Record** & **Average** & **Max** \\ \hline Sapezal & 13 December 2018 & 118,538 & 291,443 \\ Jaciara & 18 December 2018 & 261,927 & 345,987 \\ Tangara da Serra & 26 December 2018 & 5664 & 13,479 \\ Campo Novo & 27 December 2018 & 93,246 & 230,093 \\ do Parecis & 28 December 2018 & 645,929 & 844,275 \\ Quérencia & 28 December 2018 & 605,664 & 1,023,302 \\ Campo Verde & 3 January 2019 & 292,909 & 386,616 \\ Gaucha do Norte & 8 January 2019 & 251,319 & 311,625 \\ Ipiranga do Norte & 10 January 2019 & 5606 & 70,725 \\ Campos de Júlio & 14 January 2019 & 198,609 & 283,814 \\ Sorriso & 15 January 2019 & 668,136 & 899,254 \\ Lucas do Rio Verde & 18 January 2019 & 1,253,994 & 1,340,409 \\ Primavera do Leste & 21 January 2019 & 287,791 & 534,270 \\ Nova Mutum & 22 January 2019 & 504,006 & 540,787 \\ Feliz Natal & 22 January 2019 & 1888 & 13,077 \\ Itiquira & 28 January 2019 & 1883 & 12,397 \\ Rosário Oeste & 22 February 2019 & 295,360 & 352,821 \\ Sinop & 15 March 2019 & 412,856 & 866,666 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Concentration of spores in locations where occurrences were recorded. on decomposition. Installing sources along highways satisfactorily modeled the evident problem of soybean plants along highways. The simulations showed that along the main roads, there is a higher concentration of spores. During the development of this research, it was possible to realize that although there is a lot of research to understand Asian soybean rust, few of them intend to understand the macro behavior of the fungus. Although it is essential to study it, there are limitations regarding implementing the equation for a domain of this magnitude. Even though it is not simple, replicating this research in other soybean-producing states and neighboring countries that also produce the grain would allow a more comprehensive perception of how the fungus behaves. Conceptualization, A.K. and N.L.S.Z. ; methodology, A.K. ; fuzzy systems, M.d.S.C. ; formal analysis, A.K. and N.L.S.Z. ; investigation, A.K. and N.L.S.Z. ; resources, A.K. and C.R.M. ; data curation, N.L.S.Z. ; writing--original draft preparation, N.L.S.Z. ; writing--review and editing, A.K., C.R.M., and M.d.S.C. ; visualization, A.K. and N.L.S.Z. ; supervision, C.R.M. and A.K. ; project administration, C.R.M. and A.K. ; funding acquisition, C.R.M. and A.K.