Aims. We investigated the interplay between dense molecular gas, star formation, and active galactic nucleus (AGN) feedback in the luminous IR galaxy NGC 1068 at sub-kiloparsec scales. Methods. We present the HCN (4-3) and HCO + (4-3) maps of NGC 1068 obtained with JCMT as part of the Mapping the dense molecular gas in the strongest star-forming galaxies (MALATANG) project, and perform spatially resolved analyses of their correlations with IR luminosity and soft X-ray emission. Results. The spatially resolved relations between the luminosities of IR dust emission and dense molecular gas tracers ( L IR − L ′ dense ) are found to be nearly linear, without clear evidence of excess contributions from AGN activity. The spatially resolved X-ray emission ( L gas 0.5−2 KeV ) displays a radially dependent twofold correlation with the star formation rate (SFR), suggesting distinct gas-heating mechanisms are at play in areas between the galaxy center and the outer regions. A super-linear scaling is obtained in galactic center regions with SFR surface densities (Σ SFR ) > 8.2 × 10 −6 M ⊙ yr −1 kpc −2 : log( L gas 0.5−2 KeV /erg s −1 ) = 2.2 log(SFR/ M ⊙ yr −1 ) + 39.1. We further find a statistically significant super-linear correlation ( β = 1.34 ± 0.86) between L gas 0.5−2 KeV /SFR and the HCN(4–3)/CO(1–0) intensity ratio, whereas no such trend is seen for HCO + (4-3)/CO(1-0) or CO(3-2)/CO(1-0). These findings indicate that AGN feedback does not dominate star formation regulation on sub-kiloparsec scales, and that the excitation of dense gas traced by HCN (4-3) may be more directly influenced by high-energy feedback processes compared to HCO + (4-3) and CO (3-2).
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